Simplifying with Exponents Answers and Explanations
04.10
Practice simplifying exponents using the Power of a Quotient Rule.
1. Simplify.
(36/49)1/2= 6/7
Raise the numerator and denominator to the power indicated by the exponent:
- 361/2
- 491/2
Simplify the numerator and denominator:
- 361/2 = 6
- 491/2 = 7
Bring the numerator and denominator together:
6/7
2. Simplify.
(ab ÷ 180)3= a3b3/5,832,000
Raise the numerator and denominator to the power indicated by the exponent:
- a3b3
- 1803
Simplify the numerator and denominator:
- a3b3= a3b3
- 1803= 5,832,000
Bring the numerator and denominator together:
a3b3/5,832,000
3. Simplify.
(-5/p)3= -125/p3
Raise the numerator and denominator to the power indicated by the exponent:
- -53
- p3
Simplify the numerator and denominator:
- -53= -125
- p3= p3
Bring the numerator and denominator together:
-125/p3
4. Simplify.
(-f/g)7= -f 7/g 7
Raise the numerator and denominator to the power indicated by the exponent:
- -f 7
- g 7
Simplify the numerator and denominator:
- -f 7= -f 7
- g 7 = g 7
Bring the numerator and denominator together:
-f 7/g 7
5. Simplify.
(e/20)-1= 20/e
Raise the numerator and denominator to the power indicated by the exponent:
- e-1
- 20-1
Simplify the numerator and denominator:
- e-1 = 1/e1
- 20-1= 1/201
Bring the numerator and denominator together:
20/e
6. Simplify.
(xy/Π)10= x10y10 /Π10
Raise the numerator and denominator to the power indicated by the exponent:
- x10y10
- Π10
Bring the numerator and denominator together:
x10y10/Π10
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