Algebra-1 Problems

5.2 Raising a Power to a Power


Problem #

Problem Statement

Problems Similar To

1.

Simplify. Express using positive exponents.

\begin{equation}(2^{8})^{7}\end{equation}

2.

Simplify. Express using positive exponents.

\begin{equation}((-5)^{2})^{5}\end{equation}

3.

Simplify. Express using positive exponents.

\begin{equation}(x^{5})^{8}\end{equation}

4.

Simplify. Express using positive exponents.

\begin{equation}(x^{7})^{(-4)}\end{equation}

5.

Simplify. Express using positive exponents.

\begin{equation}(x^{5})^{0}\end{equation}

6.

Simplify. Express using positive exponents.

\begin{equation}((x+7)^{3})^{10}\end{equation}

7.

Simplify. Express using positive exponents.

\begin{equation}((-4)x)^{(-2)}\end{equation}

8.

Simplify. Express using positive exponents.

\begin{equation}(x^{6})^{8}x^{4}\end{equation}

9.

Simplify. Express using positive exponents.

\begin{equation}(x^{3})^{(-7)}x^{3}\end{equation}

10.

Simplify. Express using positive exponents.

\begin{equation}(x^{8})^{(-3)}(x^{(-7)})^{(-10)}\end{equation}

11.

Simplify. Express using positive exponents.

\begin{equation}(x^{(-4)})^{(-7)}(x^{6})^{3}\end{equation}

12.

Simplify. Express using positive exponents.

\begin{equation}(x^{7}y)^{2}(x^{7}y^{2})^{10}\end{equation}

13.

Simplify. Express using positive exponents.

\begin{equation}(x^{4}y^{2})^{7}(x^{(-7)}y^{(-2)})^{4}x^{7}\end{equation}

14.

Simplify. Express using positive exponents.

\begin{equation}(x^{4}y^{2})^{(-2)}(x^{2}y^{(-8)})^{(-2)}\end{equation}

15.

Simplify. Express using positive exponents.

\begin{equation}((\frac{9xy}{9})^{(-5)})^{(-3)}\end{equation}

16.

Simplify. Express using positive exponents.

\begin{equation}(5x^{7})^{3}\end{equation}

17.

Simplify. Express using positive exponents.

\begin{equation}(5x^{9}y^{10})^{3}\end{equation}

18.

Simplify. Express using positive exponents.

\begin{equation}((-1)^{2})^{10}\end{equation}

19.

Simplify. Express using positive exponents.

\begin{equation}(x^{(\frac{5}{3})})^{6}\end{equation}

20.

Simplify. Express using positive exponents.

\begin{equation}(\frac{x^{2}}{y^{4}})^{4}\end{equation}

21.

Simplify. Express using positive exponents.

\begin{equation}(\frac{6x^{3}}{y^{6}})^{5}\end{equation}

22.

Simplify. Express using positive exponents.

\begin{equation}(\frac{5x^{9}}{9y^{4}})^{8}\end{equation}

23.

Simplify. Express using positive exponents.

\begin{equation}\frac{(x^{5})^{3}}{(x^{7})^{6}}\end{equation}

24.

Simplify. Express using positive exponents.

\begin{equation}(\frac{x^{5}y}{xy^{6}})^{2}\end{equation}

25.

Find missing exponent

\begin{equation}A^{7}A^{x}=A^{(7+9)}\end{equation}

26.

Find missing exponent

\begin{equation}(A^{3})^{x}=A^{(3 \times 3)}\end{equation}

27.

Find missing exponent

\begin{equation}(2A^{x})^{3}=2^{3}A^{(3 \times 2)}\end{equation}