Simplify Exponent Rules

Front

Simplify: (-4x^3y)^3

Back

-64x^9y^3

Front

Using the POWER RULE, solve: (3xy)^2

Back

3^2x^2y^2

Front

Simplify using your exponent rule(s): (4x^2y)^3

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64x^6y^3

Front

Simplify using your exponent rule(s): (3x^4y^2z)^2

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9x^8y^4z^2

Front

Simplify: x^0

Back

1

Front

Definition of Exponent: A number that indicates how many times to multiply the base by itself.

Back

Example: 2^3 = 2 * 2 * 2 = 8

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Power Rule: (a^m)^n = a^(m*n)

Back

Example: (x^2)^3 = x^(2*3) = x^6

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Product of Powers Rule: a^m * a^n = a^(m+n)

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Example: x^2 * x^3 = x^(2+3) = x^5

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Quotient of Powers Rule: a^m / a^n = a^(m-n)

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Example: x^5 / x^2 = x^(5-2) = x^3

Front

Negative Exponent Rule: a^-n = 1/a^n

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Example: x^-2 = 1/x^2