Solving Problems with Roots & Exponents

Practice Questions

ACT Math Test › Solving Problems with Roots & Exponents

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1

Find the value of

$7\sqrt{27}\times \sqrt{x}=21\sqrt{42}$

2

If $2^{x+2}-2^x=3(2^{15})$ , what is the value of ?

3

Simplify:

$\frac{5\sqrt{288}}{6}$

4

Which of the following is equivalent to $\frac{\sqrt{21}}{6}$ ?

5

Find the value of

$\sqrt{18x+63}=x$

6

If $5^{x+1}-5^x=5^5(10^2)$ , then what is the value of ?

7

Find the value of

$\frac{\left ( x-11 \right )}{15}=\frac{16}{3}+\frac{2\sqrt{x}}{5}$

8

If $\frac{27^a}{9^b}=81$ , what is ?

9

$2^{-8}+2^{-7}+2^{-6}+2^{-5}$ is equal to which of the following?

10

Find the value of

$\sqrt{5x-34}+18=29$

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