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Power of a Power Property

Power of a Power

Properties of Exponents

Power of a power property

The power of a power states that if you have a power raised to a power you can multiply the two exponents together.

An exponent tells you how many times to multiply numbers together.

For example, 4^2 tells you to multiply 4 times 4.
In other words, multiply four two times.

4^4 tells you that four should be multiplied four times
4^4 = 4 x4 x4 x4

In order to use the power of a power, you would multiply the two powers.

For example ( m^a)^b = m^ab

Let’s look at more examples of this exponent property.

(2^2)^3 = 2^2x3 = 2^6 = 2x2x2x2x2x2 = 64

(4^3)2 = 4^3x2 = 4^6 = 4096

In the power of power video above, I work several additional power of a power sample problems.

Remember, if you have a power to a power just multiply the exponents.