Simplifying Exponents

Front

What is the Quotient Rule for exponents?

Back

The Quotient Rule states that when dividing two powers with the same base, you subtract the exponents: a^m / a^n = a^(m-n).

Front

Simplify: y^15 / y^10

Back

y^5

Front

What is the Product Rule for exponents?

Back

The Product Rule states that when multiplying two powers with the same base, you 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 Power Rule?

Back

The Power of a Power Rule states that when raising a power to another power, you multiply the exponents: (a^m)^n = a^(m*n).

Front

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

Back

1024y^15

Front

What is the Power of a Product Rule?

Back

The Power of a Product Rule states that when raising a product to a power, you apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

Simplify: (8y^3)^6

Back

8^6y^18

Front

What is the Zero Exponent Rule?

Back

The Zero Exponent Rule states that any non-zero base raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

Simplify: x^10 / x^5

Back

x^5