Question

what is a answer full slove​

Answer 1

Refer to the image attached for full detailed solution.

Answer 2

Given :   $5^m \div 5^{-3}=5^5$

(1/2)⁻² + (1/3)⁻³ + (1/4)⁻²

X & Y are in direct proportion

X      4         8           12           15

Y      60       ?          180          ?

To Find : m

Simplify

missing value

Solution

$5^m \div 5^{-3}=5^5$

$\implies 5^{(m-(-3))} =5^5$

$\implies 5^{(m+3)} =5^5$

m + 3 = 5

=> m = 2

(1/2)⁻² + (1/3)⁻³ + (1/4)⁻²

= 2² + 3³ + 4²

= 4 + 27 + 16

= 47

X & Y are in direct proportion => Y = kX

60 = k(4)

=> k = 15

=> Y = 15X

X = 8 => Y = 15(8) = 120

X = 15 => Y = 15(15) = 225

X      4         8           12           15

Y      60     120        180         225

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