Multiplication Rule
Division Rule
Power of a Power
Zero and Negative Rules
Exponent Challenge
100

Simplify

\(x^2 \cdot x^5\)


\(x^7\)

100

Simplify

\(\frac{x^8}{x^3}\)

\(x^5\)

100

Simplify

\(x^3)^2

\(x^6\)

100

Evaluate

\(a^{-3})^{-4}

\(1\)

100

What value of p makes the equation true?

\(3^2 \cdot 3^p = 3^7\)

 

\(p=5\)

200

Simplify

\(4^3 \cdot 4^6\)

\(4^9\)

200

Simplify

\(\frac{5^{11}}{5^4}\)

\(5^7\)

200

Simplify

\(5^2)^4

\(5^8\)

200

Evaluate

\(5^{-2}\)

\(\frac{1}{25}\)

200

What value of n makes the equation true?

\(\frac{6^n}{6^3}=6^5\)

 

\(n=8\)

300

Simplify

\(m^7 \cdot m^{-2}\)

\(m^5\)

300

Simplify

\(\frac{a^6}{a^9}\)

\(a^{-3}\)

300

Simplify

\(m^4)^3

\(m^{12}\)

300

Evaluate

\(x^{-4}\)

\(\frac{1}{x^4}\)

300

Ava says the following equation is correct. Is she correct? 

\(4^3 \cdot 4^5 = 4^{15}\)

No. The exponents should be added.

\(4^3 \cdot 4^5 = 4^8\).

400

Simplify

\(6^{-3} \cdot 6^8\)

\(6^5\)

400

Simplify

\(\frac{7^{-2}}{7^{-6}}\)

\(7^4\)

400

Simplifry

\(y^{-2})^5

\(y^{-10}\)

400

Evaluate

\(2^{-3}\)

\(\frac{1}{8}\)

400

What value of p makes the equation true?

\(7^p \cdot 7^{-3}=7^6\)

 

\(p=9\)

500

Simplify

\(y^{-4} \cdot y^2 \cdot y^7\)

\(y^5\)

500

Simplify

\(\frac{b^{-3}}{b^5}\)

\(b^{-8}\)

500

Simplify

\(a^{-3})^{-4}

\(a^{12}\)

500

What value of n makes the equation true?

\(6^n = \frac{1}{6^4}\)

 

\(n=-4\)

500

What value of n makes the equation true? 

\(\frac{5^n \cdot 5^3}{5^4}=5^7\)

\(n=8\)

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