simplifying exponents

Front

What is the product of two powers with the same base?

Back

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

Front

What is the quotient rule for exponents?

Back

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

Front

What is any non-zero number raised to the power of zero?

Back

Any non-zero number raised to the power of zero is 1: a^0 = 1 (where a ≠ 0).

Front

What is the power of a power rule?

Back

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

Front

Simplify: (-4r^5)(2r^8)

Back

-8r^13.

Front

Evaluate using the quotient rule: y^15 / y^10

Back

y^5.

Front

What is the value of (5^3x^2y^4)^0?

Back

1.

Front

Simplify: x^5 * x^7

Back

x^12.

Front

Evaluate using the quotient rule: 3^12 / 3^8

Back

3^4.

Front

What happens when you raise a product to a power?

Back

To raise a product to a power, raise each factor to that power: (ab)^n = a^n * b^n.