#2-3 Powers of Powers

Front

What is the power of a power rule in exponents?

Back

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

Front

Simplify: (x^2)^3

Back

x^6

Front

What is the product of powers rule in exponents?

Back

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

Front

Simplify: (2x^3)(4x^2)

Back

8x^5

Front

What is the value of (3^2)^3?

Back

27

Front

Simplify: (y^4)^2

Back

y^8

Front

What is the value of (-2)^3?

Back

-8

Front

Simplify: (x^4y^2)^2

Back

x^8y^4

Front

What is the value of (5^0)?

Back

1 (Any non-zero number raised to the power of 0 is 1).

Front

Simplify: (-3x^4y^5)^2

Back

9x^8y^{10}