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^{8} \times 2^{10}\end{equation}

2.

Simplify. Express using positive exponents.

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

3.

Simplify. Express using positive exponents.

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

4.

Simplify. Express using positive exponents.

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

5.

Simplify. Express using positive exponents.

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

6.

Simplify. Express using positive exponents.

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

7.

Simplify. Express using positive exponents.

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

8.

Simplify. Express using positive exponents.

\begin{equation}(-2)^{3} \times (-2)^{9}\end{equation}

9.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{10})^{10} \times 10^{10}\end{equation}

10.

Simplify. Express using positive exponents.

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

11.

Simplify. Express using positive exponents.

\begin{equation}\frac{3^{6}}{3^{5}}\end{equation}

12.

Simplify. Express using positive exponents.

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

13.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{3})^{(-9)}\end{equation}

14.

Simplify. Express using positive exponents.

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

15.

Simplify. Express using positive exponents.

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

16.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{8}}{x^{3}}\end{equation}

17.

Simplify. Express using positive exponents.

\begin{equation}\frac{2 \times 9x^{10}}{2x^{5}}\end{equation}

18.

Simplify. Express using positive exponents.

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

19.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{0}}{4}\end{equation}

20.

Simplify. Express using positive exponents.

\begin{equation}\frac{9x^{(-8)}y^{(-6)}}{z^{10}}\end{equation}

21.

Simplify. Express using positive exponents.

\begin{equation}\frac{xy^{(-7)}}{7z^{(-2)}}\end{equation}

22.

Simplify. Express using positive exponents.

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

23.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{6}y^{10}}{x^{6}y^{9}}\end{equation}

24.

Simplify. Express using positive exponents.

\begin{equation}\frac{p^{4}q^{6}r^{0}}{s^{(-2)}t^{(-3)}}\end{equation}

25.

Simplify. Express using positive exponents.

\begin{equation}\frac{2x^{(-7)}yz^{(-10)}}{2 \times 10y^{0}}\end{equation}

26.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{6}x^{8}}{y^{6}y^{2}}\end{equation}

27.

Simplify. Express using positive exponents.

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

28.

Simplify. Express using positive exponents.

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