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}(5^{8})^{3}\end{equation}

2.

Simplify. Express using positive exponents.

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

3.

Simplify. Express using positive exponents.

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

4.

Simplify. Express using positive exponents.

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

5.

Simplify. Express using positive exponents.

\begin{equation}(x^{9})^{0}\end{equation}

6.

Simplify. Express using positive exponents.

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

7.

Simplify. Express using positive exponents.

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

8.

Simplify. Express using positive exponents.

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

9.

Simplify. Express using positive exponents.

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

10.

Simplify. Express using positive exponents.

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

11.

Simplify. Express using positive exponents.

\begin{equation}(x^{(-8)})^{(-3)}(x^{6})^{6}\end{equation}

12.

Simplify. Express using positive exponents.

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

13.

Simplify. Express using positive exponents.

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

14.

Simplify. Express using positive exponents.

\begin{equation}(x^{6}y^{2})^{(-3)}(x^{3}y^{(-5)})^{(-3)}\end{equation}

15.

Simplify. Express using positive exponents.

\begin{equation}((\frac{9xy}{6})^{(-2)})^{(-4)}\end{equation}

16.

Simplify. Express using positive exponents.

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

17.

Simplify. Express using positive exponents.

\begin{equation}(8x^{6}y^{5})^{10}\end{equation}

18.

Simplify. Express using positive exponents.

\begin{equation}((-1)^{9})^{2}\end{equation}

19.

Simplify. Express using positive exponents.

\begin{equation}(x^{(\frac{3}{9})})^{8}\end{equation}

20.

Simplify. Express using positive exponents.

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

21.

Simplify. Express using positive exponents.

\begin{equation}(\frac{9x^{7}}{y^{10}})^{8}\end{equation}

22.

Simplify. Express using positive exponents.

\begin{equation}(\frac{2x^{4}}{8y^{5}})^{4}\end{equation}

23.

Simplify. Express using positive exponents.

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

24.

Simplify. Express using positive exponents.

\begin{equation}(\frac{x^{4}y}{xy^{3}})^{2}\end{equation}

25.

Find missing exponent

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

26.

Find missing exponent

\begin{equation}(A^{9})^{x}=A^{(9 \times 3)}\end{equation}

27.

Find missing exponent

\begin{equation}(3A^{x})^{3}=3^{3}A^{(3 \times 8)}\end{equation}