If 2^2.322 = 5 then what does 2^5.322 equal? Explain how you found your answer.

40.002

Step-by-step explanation:

is 2 to the power of 5.322. Only way to find the exact decimal is to calculate in a calculator. When we do so we should get 40.002 as our answer.

The question says:

'If 2^2.322 = 5 then what does 2^5.322 equal? Explain how you found your answer. '

So we have to use the fact that 2^2.322 = 5, in order to work out what 2^5.322 equals

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Remember the following indices rule:

a^m times a^n = a^(m+n)

So first we have to use the indice rule to split apart 2^2.322:

Now we can substitute this into the original equation, and work out the approximate value for :

Now lets use the indices rule again to split apart 2^5.322:

From the previous equation, we worked out that

Therefore:

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40

2,160 π

step-by-step explanation: