period 2-Properties of Exponents

Front

What is the property of exponents that states a negative exponent indicates the reciprocal?

Back

If a^(-n) = 1/(a^n), where a ≠ 0.

Front

Simplify: 4^(-8)

Back

1/4^8

Front

What is the product of powers property?

Back

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

Front

Simplify: (4x^5)^2

Back

16x^10

Front

What is the power of a power property?

Back

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

Front

Simplify: (3^4)(3^7)

Back

3^11

Front

What is the product of a power and a power property?

Back

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

Front

Simplify: (-3x^4)(5x^2)

Back

-15x^6

Front

What is the power of a product property?

Back

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

Front

Simplify: (3x^3y^5)^4

Back

81x^12y^20