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}(8^{8})^{4}\end{equation}

2.

Simplify. Express using positive exponents.

\begin{equation}((-2)^{4})^{3}\end{equation}

3.

Simplify. Express using positive exponents.

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

4.

Simplify. Express using positive exponents.

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

5.

Simplify. Express using positive exponents.

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

6.

Simplify. Express using positive exponents.

\begin{equation}((x+2)^{8})^{2}\end{equation}

7.

Simplify. Express using positive exponents.

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

8.

Simplify. Express using positive exponents.

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

9.

Simplify. Express using positive exponents.

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

10.

Simplify. Express using positive exponents.

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

11.

Simplify. Express using positive exponents.

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

12.

Simplify. Express using positive exponents.

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

13.

Simplify. Express using positive exponents.

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

14.

Simplify. Express using positive exponents.

\begin{equation}(x^{3}y^{6})^{(-2)}(x^{4}y^{(-6)})^{(-9)}\end{equation}

15.

Simplify. Express using positive exponents.

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

16.

Simplify. Express using positive exponents.

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

17.

Simplify. Express using positive exponents.

\begin{equation}(10x^{10}y^{6})^{2}\end{equation}

18.

Simplify. Express using positive exponents.

\begin{equation}((-1)^{9})^{3}\end{equation}

19.

Simplify. Express using positive exponents.

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

20.

Simplify. Express using positive exponents.

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

21.

Simplify. Express using positive exponents.

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

22.

Simplify. Express using positive exponents.

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

23.

Simplify. Express using positive exponents.

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

24.

Simplify. Express using positive exponents.

\begin{equation}(\frac{x^{7}y}{xy^{9}})^{2}\end{equation}

25.

Find missing exponent

\begin{equation}A^{10}A^{x}=A^{(10+6)}\end{equation}

26.

Find missing exponent

\begin{equation}(A^{4})^{x}=A^{(4 \times 10)}\end{equation}

27.

Find missing exponent

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