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# Help with EDEXCEL MATHS CALCULATOR Question watch

1. Change all bases to 2.
2. Would you then get x = 45/16?
I got this answer in the mock but idk if it’s right
3. (Original post by UnbelieveableTim)
Would you then get x = 45/16?
I got this answer in the mock but idk if it’s right
16 = 2^4
So 16^(1/5) = (2^4)^(1/5).
Since you multiply the powers:
16^(1/5) = 2^(4/5)

8 = 2^3
So 8^(3/4) = (2^3)^(3/4).
Since you multiply the powers:
8^(3/4) = 2^(9/4)

2^(4/5) x 2^x = 2^(9/4)

When you multiply powers, you add them together:
Spoiler:
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2^(4/5 + x) = 2^(9/4)

4/5 + x = 9/4

I will convert fractions to decimals now to make it easier:

0.8 + x = 2.25
x = 2.25 - 0.8
x = 1.45
1.45 = 145 / 100
x = 29 / 20 in its simplest form

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Updated: February 25, 2018
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