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}(9^{2})^{6}\end{equation}

2.

Simplify. Express using positive exponents.

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

3.

Simplify. Express using positive exponents.

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

4.

Simplify. Express using positive exponents.

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

5.

Simplify. Express using positive exponents.

\begin{equation}(x^{2})^{0}\end{equation}

6.

Simplify. Express using positive exponents.

\begin{equation}((x+8)^{4})^{3}\end{equation}

7.

Simplify. Express using positive exponents.

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

8.

Simplify. Express using positive exponents.

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

9.

Simplify. Express using positive exponents.

\begin{equation}(x^{2})^{(-4)}x^{9}\end{equation}

10.

Simplify. Express using positive exponents.

\begin{equation}(x^{5})^{(-7)}(x^{(-6)})^{(-9)}\end{equation}

11.

Simplify. Express using positive exponents.

\begin{equation}(x^{(-10)})^{(-3)}(x^{7})^{9}\end{equation}

12.

Simplify. Express using positive exponents.

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

13.

Simplify. Express using positive exponents.

\begin{equation}(x^{10}y^{3})^{4}(x^{(-4)}y^{(-3)})^{10}x^{4}\end{equation}

14.

Simplify. Express using positive exponents.

\begin{equation}(x^{5}y^{10})^{(-7)}(x^{7}y^{(-4)})^{(-5)}\end{equation}

15.

Simplify. Express using positive exponents.

\begin{equation}((\frac{8xy}{7})^{(-8)})^{(-4)}\end{equation}

16.

Simplify. Express using positive exponents.

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

17.

Simplify. Express using positive exponents.

\begin{equation}(4x^{10}y^{3})^{4}\end{equation}

18.

Simplify. Express using positive exponents.

\begin{equation}((-1)^{10})^{8}\end{equation}

19.

Simplify. Express using positive exponents.

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

20.

Simplify. Express using positive exponents.

\begin{equation}(\frac{x^{7}}{y^{4}})^{10}\end{equation}

21.

Simplify. Express using positive exponents.

\begin{equation}(\frac{5x^{7}}{y^{8}})^{2}\end{equation}

22.

Simplify. Express using positive exponents.

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

23.

Simplify. Express using positive exponents.

\begin{equation}\frac{(x^{2})^{10}}{(x^{9})^{2}}\end{equation}

24.

Simplify. Express using positive exponents.

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

25.

Find missing exponent

\begin{equation}A^{6}A^{x}=A^{(6+2)}\end{equation}

26.

Find missing exponent

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

27.

Find missing exponent

\begin{equation}(3A^{x})^{3}=3^{3}A^{(3 \times 6)}\end{equation}