Sophia College Algebra UNIT 1 MILESTONE 1 Study
Guide And Solutions Questions And Answers Revised
Study Quiz
, 19/19
lOMoAR cPSD| 7670600
UNIT 1 — MILESTONE 1
RETAKE
19/19 that's 100%
1●
How can the following expression be simplified and written without
negative exponents?
, 19/19
lOMoAR cPSD| 7670600
RATIONALE
By completing a series of steps, this expression can be written so
that no negative exponents are included. The first step is to write
the numerator as a single power of b. You can combine the two
terms by using the Product Property of Exponents, which states
that if two expressions with the same base are multiplied
together, you can add the exponents. Therefore, add the
exponents -17 and 11 to UNIT 1 — MILESTONE
1evaluate the two multiplied terms.
-17 plus 11 equals -6, which becomes the new exponent in the
numerator. Next, divide the numerator by the denominator and
write this as a single power of b. To do this, use the Quotient
Property of Exponents, which says that when you divide two
expressions with the same base, you can subtract the exponents.
Therefore, evaluate -6 minus -5.
Be careful when subtracting negative numbers! -6 minus -5 can be
thought of as -6 plus 5.
-6 plus 5 is equal to -1. This is the new exponent for b. Lastly, write
this without any negative exponents.
Write the expression as a fraction with 1 in the numerator, and
change the sign of the exponent from negative to positive. This is
the simplified expression without any negative exponents.
CONCEPT
→ Negative Exponents
Report an issue with this question
2●
Evaluate the following expression.
, 19/19
lOMoAR cPSD| 7670600
8
-8
●
7
●
● -7
RATIONALE
UNIT 1 — MILESTONE 1
Evaluate each absolute value first. Absolute value is always
non-negative. Rewrite the number without any negative
sign if there was one.
The absolute value of -3 is 3. The absolute value of -1 is
1. Now we can add these two numbers
3 plus 1 is 4. Next, multiply 2 by 4.
2 times 4 is 8.
CONCEPT
→ Introduction to Absolute Value
Report an issue with this question
3●
Simplify the following expression in terms of fractional exponents and
write it in the form .
Guide And Solutions Questions And Answers Revised
Study Quiz
, 19/19
lOMoAR cPSD| 7670600
UNIT 1 — MILESTONE 1
RETAKE
19/19 that's 100%
1●
How can the following expression be simplified and written without
negative exponents?
, 19/19
lOMoAR cPSD| 7670600
RATIONALE
By completing a series of steps, this expression can be written so
that no negative exponents are included. The first step is to write
the numerator as a single power of b. You can combine the two
terms by using the Product Property of Exponents, which states
that if two expressions with the same base are multiplied
together, you can add the exponents. Therefore, add the
exponents -17 and 11 to UNIT 1 — MILESTONE
1evaluate the two multiplied terms.
-17 plus 11 equals -6, which becomes the new exponent in the
numerator. Next, divide the numerator by the denominator and
write this as a single power of b. To do this, use the Quotient
Property of Exponents, which says that when you divide two
expressions with the same base, you can subtract the exponents.
Therefore, evaluate -6 minus -5.
Be careful when subtracting negative numbers! -6 minus -5 can be
thought of as -6 plus 5.
-6 plus 5 is equal to -1. This is the new exponent for b. Lastly, write
this without any negative exponents.
Write the expression as a fraction with 1 in the numerator, and
change the sign of the exponent from negative to positive. This is
the simplified expression without any negative exponents.
CONCEPT
→ Negative Exponents
Report an issue with this question
2●
Evaluate the following expression.
, 19/19
lOMoAR cPSD| 7670600
8
-8
●
7
●
● -7
RATIONALE
UNIT 1 — MILESTONE 1
Evaluate each absolute value first. Absolute value is always
non-negative. Rewrite the number without any negative
sign if there was one.
The absolute value of -3 is 3. The absolute value of -1 is
1. Now we can add these two numbers
3 plus 1 is 4. Next, multiply 2 by 4.
2 times 4 is 8.
CONCEPT
→ Introduction to Absolute Value
Report an issue with this question
3●
Simplify the following expression in terms of fractional exponents and
write it in the form .
