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

2.

Simplify. Express using positive exponents.

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

3.

Simplify. Express using positive exponents.

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

4.

Simplify. Express using positive exponents.

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

5.

Simplify. Express using positive exponents.

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

6.

Simplify. Express using positive exponents.

\begin{equation}((x+2)^{7})^{3}\end{equation}

7.

Simplify. Express using positive exponents.

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

8.

Simplify. Express using positive exponents.

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

9.

Simplify. Express using positive exponents.

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

10.

Simplify. Express using positive exponents.

\begin{equation}(x^{4})^{(-6)}(x^{(-8)})^{(-5)}\end{equation}

11.

Simplify. Express using positive exponents.

\begin{equation}(x^{(-7)})^{(-10)}(x^{2})^{3}\end{equation}

12.

Simplify. Express using positive exponents.

\begin{equation}(x^{7}y)^{2}(x^{7}y^{2})^{6}\end{equation}

13.

Simplify. Express using positive exponents.

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

14.

Simplify. Express using positive exponents.

\begin{equation}(x^{5}y^{2})^{(-9)}(x^{7}y^{(-5)})^{(-4)}\end{equation}

15.

Simplify. Express using positive exponents.

\begin{equation}((\frac{8xy}{7})^{(-6)})^{(-4)}\end{equation}

16.

Simplify. Express using positive exponents.

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

17.

Simplify. Express using positive exponents.

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

18.

Simplify. Express using positive exponents.

\begin{equation}((-1)^{9})^{6}\end{equation}

19.

Simplify. Express using positive exponents.

\begin{equation}(x^{(\frac{5}{6})})^{7}\end{equation}

20.

Simplify. Express using positive exponents.

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

21.

Simplify. Express using positive exponents.

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

22.

Simplify. Express using positive exponents.

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

23.

Simplify. Express using positive exponents.

\begin{equation}\frac{(x^{10})^{9}}{(x^{7})^{6}}\end{equation}

24.

Simplify. Express using positive exponents.

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

25.

Find missing exponent

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

26.

Find missing exponent

\begin{equation}(A^{2})^{x}=A^{(2 \times 6)}\end{equation}

27.

Find missing exponent

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