Rules of exponents

Front

What is the product of powers rule in exponents?

Back

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

Front

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

Back

-8r^13

Front

What is the power of a product rule in exponents?

Back

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

Front

Simplify: (2a^2b^4z)(6a^3b^2z^5)

Back

12a^5b^6z^6

Front

What is the zero exponent rule?

Back

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

Front

Simplify: (-1/2)^0

Back

1

Front

What is the quotient of powers rule in exponents?

Back

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

Front

Simplify: (2m^4)(5m^2)

Back

10m^6

Front

What is the power of a power rule in exponents?

Back

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

Front

Which number is the EXPONENT in 4^2 = 16?

Back

2