Index Laws

Front

What are Index Laws?

Back

Index Laws are rules that describe how to handle mathematical operations involving powers or exponents.

Front

What is the product of powers rule?

Back

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

Front

What is the quotient of powers rule?

Back

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

Front

What is the power of a power rule?

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?

Back

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

Front

What is the power of a quotient rule?

Back

When raising a quotient to a power, apply the exponent to both the numerator and denominator: (a/b)^n = a^n / b^n.

Front

Simplify: b⁴ x b⁻³ ÷ b⁻²

Back

b³

Front

Simplify: a⁷ x a⁹

Back

a¹⁶

Front

Simplify: (b³)⁴

Back

b¹²

Front

Simplify: y⁸ ÷ y

Back

y⁷