Laws 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

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

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

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n) (where a ≠ 0).

Front

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

Back

-8r^13.

Front

Is 9^3 ⋅ 9^4 = 9^12 true or false?

Back

False.

Front

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

Back

1.

Front

Simplify: 1/c^(-7)

Back

c^7.

Front

Simplify: xy^(-7)

Back

x/y^7.

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).