Wize High School Algebra I Textbook (Common Core) > Exponents & Radicals

Expressions with Exponents & Radicals

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Practice: Expressions with Powers
Simplify the following, then evaluate without a calculator.
a) (53)(−2)5(52)(−2)3(−2)6(54)\dfrac{(5^3)(-2)^5(5^2)(-2)^3}{(-2)^6(5^4)}(−2)6(54)(53)(−2)5(52)(−2)3​
b) (23)5(23)3(23)(−23)5\dfrac{\left(\dfrac{2}{3}\right)^5\left(\dfrac{2}{3}\right)^3}{\left(\dfrac{2}{3}\right)\left(-\dfrac{2}{3}\right)^5}(32​)(−32​)5(32​)5(32​)3​

I don't know

Practice: Expressions with Powers
Simplify then evaluate the following expressions.

(x3)4(x5)3(x5)5\dfrac{(x^3)^4(x^5)^3}{(x^5)^5}(x5)5(x3)4(x5)3​

a) when x=3x=3x=3

b) when x=5.1x=5.1x=5.1

You may use a calculator if the question involves decimal numbers.

a) Enter the exact answer (do not round)

b) Enter the exact answer (do not round)

I don't know

Practice: Expressions with Powers
Simplify then evaluate the following expressions.

(−23ab2x2)4(−3ax)7(−23)3(33a5b2x7)2\dfrac{\left(-\dfrac{2}{3}ab^2x^2\right)^4(-3ax)^7}{\left(-\dfrac{2}{3}\right)^3(3^3a^5b^2x^7)^2}(−32​)3(33a5b2x7)2(−32​ab2x2)4(−3ax)7​

a) when a=7a=7a=7, b=−2b=-2b=−2, x=1x=1x=1

b) when a=5.1a=5.1a=5.1, b=1b=1b=1, x=3.5x=3.5x=3.5

You may use a calculator if the question involves decimal numbers.

a) Enter the exact answer (do not round)

b) Enter the exact answer (do not round)

I don't know