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}(4^{7})^{9}\end{equation}

2.

Simplify. Express using positive exponents.

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

3.

Simplify. Express using positive exponents.

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

4.

Simplify. Express using positive exponents.

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

5.

Simplify. Express using positive exponents.

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

6.

Simplify. Express using positive exponents.

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

7.

Simplify. Express using positive exponents.

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

8.

Simplify. Express using positive exponents.

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

9.

Simplify. Express using positive exponents.

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

10.

Simplify. Express using positive exponents.

\begin{equation}(x^{6})^{(-7)}(x^{(-4)})^{(-10)}\end{equation}

11.

Simplify. Express using positive exponents.

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

12.

Simplify. Express using positive exponents.

\begin{equation}(x^{4}y)^{10}(x^{4}y^{10})^{9}\end{equation}

13.

Simplify. Express using positive exponents.

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

14.

Simplify. Express using positive exponents.

\begin{equation}(x^{8}y^{6})^{(-9)}(x^{3}y^{(-2)})^{(-6)}\end{equation}

15.

Simplify. Express using positive exponents.

\begin{equation}((\frac{9xy}{5})^{(-7)})^{(-2)}\end{equation}

16.

Simplify. Express using positive exponents.

\begin{equation}(9x^{3})^{6}\end{equation}

17.

Simplify. Express using positive exponents.

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

18.

Simplify. Express using positive exponents.

\begin{equation}((-1)^{8})^{2}\end{equation}

19.

Simplify. Express using positive exponents.

\begin{equation}(x^{(\frac{6}{3})})^{9}\end{equation}

20.

Simplify. Express using positive exponents.

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

21.

Simplify. Express using positive exponents.

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

22.

Simplify. Express using positive exponents.

\begin{equation}(\frac{9x^{6}}{7y^{6}})^{8}\end{equation}

23.

Simplify. Express using positive exponents.

\begin{equation}\frac{(x^{5})^{4}}{(x^{9})^{10}}\end{equation}

24.

Simplify. Express using positive exponents.

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

25.

Find missing exponent

\begin{equation}A^{6}A^{x}=A^{(6+5)}\end{equation}

26.

Find missing exponent

\begin{equation}(A^{4})^{x}=A^{(4 \times 8)}\end{equation}

27.

Find missing exponent

\begin{equation}(3A^{x})^{2}=3^{2}A^{(2 \times 5)}\end{equation}