Exponent Rules

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 of the base raised to the opposite positive exponent: a^(-n) = 1/(a^n).

Front

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

Back

x^7.

Front

Simplify: (2y^5)(3y^2)

Back

6y^7.

Front

Simplify: (a^2)^3

Back

a^6.

Front

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

Back

10x^5.

Front

Simplify: (x^5)/(x^2)

Back

x^3.

Front

Simplify: (3a^4)/(6a^2)

Back

1/2 a^2.