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^{8})^{9}\end{equation}

2.

Simplify. Express using positive exponents.

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

3.

Simplify. Express using positive exponents.

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

4.

Simplify. Express using positive exponents.

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

5.

Simplify. Express using positive exponents.

\begin{equation}(x^{3})^{0}\end{equation}

6.

Simplify. Express using positive exponents.

\begin{equation}((x+10)^{7})^{8}\end{equation}

7.

Simplify. Express using positive exponents.

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

8.

Simplify. Express using positive exponents.

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

9.

Simplify. Express using positive exponents.

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

10.

Simplify. Express using positive exponents.

\begin{equation}(x^{4})^{(-7)}(x^{(-5)})^{(-2)}\end{equation}

11.

Simplify. Express using positive exponents.

\begin{equation}(x^{(-5)})^{(-2)}(x^{6})^{10}\end{equation}

12.

Simplify. Express using positive exponents.

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

13.

Simplify. Express using positive exponents.

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

14.

Simplify. Express using positive exponents.

\begin{equation}(x^{5}y^{3})^{(-6)}(x^{3}y^{(-7)})^{(-8)}\end{equation}

15.

Simplify. Express using positive exponents.

\begin{equation}((\frac{6xy}{5})^{(-4)})^{(-9)}\end{equation}

16.

Simplify. Express using positive exponents.

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

17.

Simplify. Express using positive exponents.

\begin{equation}(3x^{8}y^{5})^{6}\end{equation}

18.

Simplify. Express using positive exponents.

\begin{equation}((-1)^{7})^{2}\end{equation}

19.

Simplify. Express using positive exponents.

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

20.

Simplify. Express using positive exponents.

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

21.

Simplify. Express using positive exponents.

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

22.

Simplify. Express using positive exponents.

\begin{equation}(\frac{7x^{2}}{8y^{5}})^{3}\end{equation}

23.

Simplify. Express using positive exponents.

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

24.

Simplify. Express using positive exponents.

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

25.

Find missing exponent

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

26.

Find missing exponent

\begin{equation}(A^{10})^{x}=A^{(10 \times 3)}\end{equation}

27.

Find missing exponent

\begin{equation}(2A^{x})^{4}=2^{4}A^{(4 \times 9)}\end{equation}