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^{5})^{10}\end{equation}

2.

Simplify. Express using positive exponents.

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

3.

Simplify. Express using positive exponents.

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

4.

Simplify. Express using positive exponents.

\begin{equation}(x^{10})^{(-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+6)^{7})^{3}\end{equation}

7.

Simplify. Express using positive exponents.

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

8.

Simplify. Express using positive exponents.

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

9.

Simplify. Express using positive exponents.

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

10.

Simplify. Express using positive exponents.

\begin{equation}(x^{4})^{(-9)}(x^{(-5)})^{(-2)}\end{equation}

11.

Simplify. Express using positive exponents.

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

12.

Simplify. Express using positive exponents.

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

13.

Simplify. Express using positive exponents.

\begin{equation}(x^{9}y^{10})^{6}(x^{(-6)}y^{(-10)})^{9}x^{6}\end{equation}

14.

Simplify. Express using positive exponents.

\begin{equation}(x^{4}y^{3})^{(-5)}(x^{5}y^{(-7)})^{(-10)}\end{equation}

15.

Simplify. Express using positive exponents.

\begin{equation}((\frac{7xy}{3})^{(-6)})^{(-3)}\end{equation}

16.

Simplify. Express using positive exponents.

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

17.

Simplify. Express using positive exponents.

\begin{equation}(3x^{5}y^{4})^{10}\end{equation}

18.

Simplify. Express using positive exponents.

\begin{equation}((-1)^{10})^{4}\end{equation}

19.

Simplify. Express using positive exponents.

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

20.

Simplify. Express using positive exponents.

\begin{equation}(\frac{x^{3}}{y^{6}})^{10}\end{equation}

21.

Simplify. Express using positive exponents.

\begin{equation}(\frac{3x^{4}}{y^{2}})^{8}\end{equation}

22.

Simplify. Express using positive exponents.

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

23.

Simplify. Express using positive exponents.

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

24.

Simplify. Express using positive exponents.

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

25.

Find missing exponent

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

26.

Find missing exponent

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

27.

Find missing exponent

\begin{equation}(2A^{x})^{5}=2^{5}A^{(5 \times 10)}\end{equation}