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^{2}\end{equation}

2.

Simplify. Express using positive exponents.

\begin{equation}6^{8} \times 6^{5}\end{equation}

3.

Simplify. Express using positive exponents.

\begin{equation}4 \times 4^{10} \times 4^{8}\end{equation}

4.

Simplify. Express using positive exponents.

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

5.

Simplify. Express using positive exponents.

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

6.

Simplify. Express using positive exponents.

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

7.

Simplify. Express using positive exponents.

\begin{equation}x^{10}y^{10}x^{9}y^{7}\end{equation}

8.

Simplify. Express using positive exponents.

\begin{equation}(-10)^{7} \times (-10)^{5}\end{equation}

9.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{5})^{7} \times 5^{9}\end{equation}

10.

Simplify. Express using positive exponents.

\begin{equation}x^{(-3)}x^{(-10)}x^{(-4)}\end{equation}

11.

Simplify. Express using positive exponents.

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

12.

Simplify. Express using positive exponents.

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

13.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{7})^{(-8)}\end{equation}

14.

Simplify. Express using positive exponents.

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

15.

Simplify. Express using positive exponents.

\begin{equation}0^{5}\end{equation}

16.

Simplify. Express using positive exponents.

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

17.

Simplify. Express using positive exponents.

\begin{equation}\frac{7 \times 9x^{3}}{7x^{2}}\end{equation}

18.

Simplify. Express using positive exponents.

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

19.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{0}}{5}\end{equation}

20.

Simplify. Express using positive exponents.

\begin{equation}\frac{4x^{(-8)}y^{(-5)}}{z^{5}}\end{equation}

21.

Simplify. Express using positive exponents.

\begin{equation}\frac{xy^{(-3)}}{5z^{(-9)}}\end{equation}

22.

Simplify. Express using positive exponents.

\begin{equation}\frac{6x^{(-9)}}{6^{2}yz^{(-3)}}\end{equation}

23.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{6}y^{5}}{x^{2}y^{9}}\end{equation}

24.

Simplify. Express using positive exponents.

\begin{equation}\frac{p^{10}q^{9}r^{0}}{s^{(-2)}t^{(-9)}}\end{equation}

25.

Simplify. Express using positive exponents.

\begin{equation}\frac{8x^{(-2)}yz^{(-6)}}{8 \times 4y^{0}}\end{equation}

26.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{9}x^{2}}{y^{7}y^{5}}\end{equation}

27.

Simplify. Express using positive exponents.

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

28.

Simplify. Express using positive exponents.

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