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^{3} \times 2^{10}\end{equation}

2.

Simplify. Express using positive exponents.

\begin{equation}5^{10} \times 5^{3}\end{equation}

3.

Simplify. Express using positive exponents.

\begin{equation}6 \times 6^{6} \times 6^{5}\end{equation}

4.

Simplify. Express using positive exponents.

\begin{equation}x^{8}x^{10}\end{equation}

5.

Simplify. Express using positive exponents.

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

6.

Simplify. Express using positive exponents.

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

7.

Simplify. Express using positive exponents.

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

8.

Simplify. Express using positive exponents.

\begin{equation}(-9)^{3} \times (-9)^{8}\end{equation}

9.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{2})^{7} \times 2^{4}\end{equation}

10.

Simplify. Express using positive exponents.

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

11.

Simplify. Express using positive exponents.

\begin{equation}\frac{6^{2}}{6^{10}}\end{equation}

12.

Simplify. Express using positive exponents.

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

13.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{5})^{(-7)}\end{equation}

14.

Simplify. Express using positive exponents.

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

15.

Simplify. Express using positive exponents.

\begin{equation}0^{9}\end{equation}

16.

Simplify. Express using positive exponents.

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

17.

Simplify. Express using positive exponents.

\begin{equation}\frac{8 \times 7x^{6}}{8x^{4}}\end{equation}

18.

Simplify. Express using positive exponents.

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

19.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{0}}{3}\end{equation}

20.

Simplify. Express using positive exponents.

\begin{equation}\frac{6x^{(-10)}y^{(-6)}}{z^{5}}\end{equation}

21.

Simplify. Express using positive exponents.

\begin{equation}\frac{xy^{(-10)}}{3z^{(-8)}}\end{equation}

22.

Simplify. Express using positive exponents.

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

23.

Simplify. Express using positive exponents.

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

24.

Simplify. Express using positive exponents.

\begin{equation}\frac{p^{8}q^{2}r^{0}}{s^{(-9)}t^{(-9)}}\end{equation}

25.

Simplify. Express using positive exponents.

\begin{equation}\frac{5x^{(-2)}yz^{(-3)}}{5 \times 3y^{0}}\end{equation}

26.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{8}x^{5}}{y^{4}y^{9}}\end{equation}

27.

Simplify. Express using positive exponents.

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

28.

Simplify. Express using positive exponents.

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