Exponents Basic Rules Review

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Back

Front

In the expression, 3^4, 3 is the ________, and 4 is the __________.

Back

base, exponent

Front

Simplify: (10^4)^5

Back

10^20

Front

Simplify: (m^9)^2

Back

m^18

Front

Simplify the expression: 5^2 \cdot 5^1 =

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5^3

Front

What is the product rule of exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m \cdot a^n = a^{m+n}.

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What is the power of a power rule?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^{m \cdot 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} = \frac{1}{a^n}.

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