Power of a Power Rule

Front

What is the Power of a Power Rule in exponents?

Back

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

Front

Simplify the expression: (x^5)^4

Back

x^20

Front

Simplify the expression: (10^3)^5

Back

10^{15}

Front

Simplify the expression: (10^7)^7

Back

10^{49}

Front

Write the following in Exponential Form: 0 x 0 x 0 x 0 x 0 x 0

Back

0^6

Front

Simplify the expression: ((7^5)^4)^2

Back

7^{40}

Front

What is the result of (a^b)^c when a=2, b=3, c=4?

Back

2^{12} (since 3*4=12)

Front

If (x^2)^3 = x^n, what is the value of n?

Back

n = 6 (since 2*3=6)

Front

What is the value of 5^0?

Back

5^0 = 1 (Any non-zero number raised to the power of 0 is 1)

Front

What does the expression (x^m)^n represent?

Back

It represents x raised to the power of m multiplied by n.