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

2.

Simplify. Express using positive exponents.

\begin{equation}5^{4} \times 5^{10}\end{equation}

3.

Simplify. Express using positive exponents.

\begin{equation}9 \times 9^{5} \times 9^{3}\end{equation}

4.

Simplify. Express using positive exponents.

\begin{equation}x^{6}x^{4}\end{equation}

5.

Simplify. Express using positive exponents.

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

6.

Simplify. Express using positive exponents.

\begin{equation}x^{3}x^{9}x^{6}\end{equation}

7.

Simplify. Express using positive exponents.

\begin{equation}x^{8}y^{10}x^{9}y^{5}\end{equation}

8.

Simplify. Express using positive exponents.

\begin{equation}(-8)^{7} \times (-8)^{3}\end{equation}

9.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{2})^{4} \times 2^{3}\end{equation}

10.

Simplify. Express using positive exponents.

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

11.

Simplify. Express using positive exponents.

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

12.

Simplify. Express using positive exponents.

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

13.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{6})^{(-10)}\end{equation}

14.

Simplify. Express using positive exponents.

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

15.

Simplify. Express using positive exponents.

\begin{equation}0^{7}\end{equation}

16.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{8}}{x^{9}}\end{equation}

17.

Simplify. Express using positive exponents.

\begin{equation}\frac{4 \times 2x^{6}}{4x^{5}}\end{equation}

18.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{(-2)}}{y^{(-10)}}\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{9x^{(-4)}y^{(-4)}}{z^{8}}\end{equation}

21.

Simplify. Express using positive exponents.

\begin{equation}\frac{xy^{(-3)}}{4z^{(-8)}}\end{equation}

22.

Simplify. Express using positive exponents.

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

23.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{2}y^{9}}{x^{2}y^{7}}\end{equation}

24.

Simplify. Express using positive exponents.

\begin{equation}\frac{p^{3}q^{9}r^{0}}{s^{(-10)}t^{(-4)}}\end{equation}

25.

Simplify. Express using positive exponents.

\begin{equation}\frac{6x^{(-9)}yz^{(-10)}}{6 \times 5y^{0}}\end{equation}

26.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{2}x^{9}}{y^{8}y^{8}}\end{equation}

27.

Simplify. Express using positive exponents.

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

28.

Simplify. Express using positive exponents.

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