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

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 power of a product rule in exponents?

Back

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

Front

What is the zero exponent rule?

Back

Any non-zero base 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: (-4r^5)(2r^8)

Back

-8r^13

Front

Identify the exponent in the expression: 4^2 = 16

Back

2

Front

Simplify: y^15/y^10

Back

y^5

Front

Simplify: (x^5)(x^5)

Back

x^10

Front

Simplify: 2^3 * 2^2

Back

2^5