Exponents (product & power rule)

Front

What is the product rule of 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 rule of exponents?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

Simplify: (3xy)(xy^3)

Back

3x^2y^4

Front

Simplify: (3ab^2)^2 (2a^3b)^3

Back

72a^11b^7

Front

Simplify: -(2xy)(4x^2y^5)^2

Back

-32x^5y^11

Front

Simplify: -3(b^3)^2(-2b^4)^2

Back

-12b^14

Front

Simplify: (5cd^4)(2c^3d^2)

Back

10c^4d^6

Front

What happens when you multiply two numbers with different bases but the same exponent?

Back

You can multiply the bases together and keep the exponent: a^n * b^n = (ab)^n.

Front

What is the value of 2^3?

Back

8

Front

What is the value of (x^2)^4?

Back

x^8