Exponent Rules (Simple Laws of Exponents)

Front

What does x^5 mean?

Back

x⋅x⋅x⋅x⋅x

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Front

What is the result of (3ab)^2?

Back

9a^2b^2

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Front

Simplify (-8r^5)(r^8).

Back

-8r^{13}

Front

What is the product rule for exponents?

Back

When multiplying like bases, add the exponents: a^m × a^n = a^(m+n).

Front

What is the power of a power rule?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1.

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^{-n} = 1/a^n.

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Back