Algebra-1 Problems

5.1 Multiplying and Dividing using exponents


Problem #

Problem Statement

Problems Similar To

1.

Simplify. Express using positive exponents.

\begin{equation}2^{5} \times 2^{10}\end{equation}

2.

Simplify. Express using positive exponents.

\begin{equation}6^{7} \times 6^{9}\end{equation}

3.

Simplify. Express using positive exponents.

\begin{equation}6 \times 6^{8} \times 6^{9}\end{equation}

4.

Simplify. Express using positive exponents.

\begin{equation}x^{8}x^{5}\end{equation}

5.

Simplify. Express using positive exponents.

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

6.

Simplify. Express using positive exponents.

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

7.

Simplify. Express using positive exponents.

\begin{equation}x^{4}y^{9}x^{2}y^{5}\end{equation}

8.

Simplify. Express using positive exponents.

\begin{equation}(-8)^{5} \times (-8)^{7}\end{equation}

9.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{3})^{5} \times 3^{2}\end{equation}

10.

Simplify. Express using positive exponents.

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

11.

Simplify. Express using positive exponents.

\begin{equation}\frac{2^{4}}{2^{10}}\end{equation}

12.

Simplify. Express using positive exponents.

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

13.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{9})^{(-7)}\end{equation}

14.

Simplify. Express using positive exponents.

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

15.

Simplify. Express using positive exponents.

\begin{equation}0^{8}\end{equation}

16.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{4}}{x^{8}}\end{equation}

17.

Simplify. Express using positive exponents.

\begin{equation}\frac{6 \times 8x^{6}}{6x^{7}}\end{equation}

18.

Simplify. Express using positive exponents.

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

19.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{0}}{6}\end{equation}

20.

Simplify. Express using positive exponents.

\begin{equation}\frac{3x^{(-6)}y^{(-10)}}{z^{9}}\end{equation}

21.

Simplify. Express using positive exponents.

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

22.

Simplify. Express using positive exponents.

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

23.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{5}y^{4}}{x^{8}y^{8}}\end{equation}

24.

Simplify. Express using positive exponents.

\begin{equation}\frac{p^{4}q^{2}r^{0}}{s^{(-6)}t^{(-4)}}\end{equation}

25.

Simplify. Express using positive exponents.

\begin{equation}\frac{10x^{(-9)}yz^{(-7)}}{10 \times 10y^{0}}\end{equation}

26.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{7}x^{4}}{y^{2}y^{2}}\end{equation}

27.

Simplify. Express using positive exponents.

\begin{equation}(\frac{10x}{8y})^{(-6)}\end{equation}

28.

Simplify. Express using positive exponents.

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