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}(10^{7})^{10}\end{equation}

2.

Simplify. Express using positive exponents.

\begin{equation}((-10)^{5})^{7}\end{equation}

3.

Simplify. Express using positive exponents.

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

4.

Simplify. Express using positive exponents.

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

5.

Simplify. Express using positive exponents.

\begin{equation}(x^{6})^{0}\end{equation}

6.

Simplify. Express using positive exponents.

\begin{equation}((x+9)^{4})^{5}\end{equation}

7.

Simplify. Express using positive exponents.

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

8.

Simplify. Express using positive exponents.

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

9.

Simplify. Express using positive exponents.

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

10.

Simplify. Express using positive exponents.

\begin{equation}(x^{4})^{(-6)}(x^{(-5)})^{(-7)}\end{equation}

11.

Simplify. Express using positive exponents.

\begin{equation}(x^{(-6)})^{(-2)}(x^{2})^{9}\end{equation}

12.

Simplify. Express using positive exponents.

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

13.

Simplify. Express using positive exponents.

\begin{equation}(x^{6}y^{8})^{9}(x^{(-9)}y^{(-8)})^{6}x^{9}\end{equation}

14.

Simplify. Express using positive exponents.

\begin{equation}(x^{5}y^{9})^{(-4)}(x^{3}y^{(-9)})^{(-7)}\end{equation}

15.

Simplify. Express using positive exponents.

\begin{equation}((\frac{4xy}{4})^{(-9)})^{(-9)}\end{equation}

16.

Simplify. Express using positive exponents.

\begin{equation}(5x^{4})^{4}\end{equation}

17.

Simplify. Express using positive exponents.

\begin{equation}(2x^{5}y^{6})^{4}\end{equation}

18.

Simplify. Express using positive exponents.

\begin{equation}((-1)^{7})^{6}\end{equation}

19.

Simplify. Express using positive exponents.

\begin{equation}(x^{(\frac{7}{10})})^{9}\end{equation}

20.

Simplify. Express using positive exponents.

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

21.

Simplify. Express using positive exponents.

\begin{equation}(\frac{8x^{3}}{y^{2}})^{10}\end{equation}

22.

Simplify. Express using positive exponents.

\begin{equation}(\frac{2x^{2}}{9y^{5}})^{3}\end{equation}

23.

Simplify. Express using positive exponents.

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

24.

Simplify. Express using positive exponents.

\begin{equation}(\frac{x^{6}y}{xy^{8}})^{2}\end{equation}

25.

Find missing exponent

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

26.

Find missing exponent

\begin{equation}(A^{6})^{x}=A^{(6 \times 9)}\end{equation}

27.

Find missing exponent

\begin{equation}(2A^{x})^{2}=2^{2}A^{(2 \times 7)}\end{equation}