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# How do you multiply two powers?

3 years ago

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Vivien Will

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You can multiply two powers by using the laws of indices, namely x^a + x^b = x^(a+b).

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Shabiib O Verified Sherpa Tutor ✓

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Multiplying two powers is a carried out by having the base numbers being the same and adding the powers together.

Example 3^3 * 3^4x= 3^(3+4x)

Note: The bases are the same hence we can add the powers and simplify our answer to one number with one power.

Another Example:

9^4x * 3^2x= 3^2(4x) * 3^2x = 3^(2*4x + 2x)= 3^(8x+2x) = 3^(10x)

Note: the base are not the same with 3 and 9. changing the bases to powers of 3 will help to simplify to having one number with one power.

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