Multiplication and Division Properties of Exponents

Front

What is the product of powers property of exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the quotient of powers property of exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the power of a power property of exponents?

Back

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

Front

What is the power of a product property of exponents?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the power of a quotient property of exponents?

Back

When raising a quotient to a power, apply the exponent to both the numerator and the denominator: (a/b)^n = a^n / b^n.

Front

Simplify: (2x^3)(3x^4)

Back

6x^7.

Front

Simplify: (5a^2b)(2ab^3)

Back

10a^3b^4.

Front

Simplify: (x^5)^3

Back

x^{15}.

Front

Simplify: (3x^2y)(4x^3y^2)

Back

12x^5y^3.

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