Question

A x 60 = b. work out the value of 4b/a.

Also

Write 27 x (3, squared) power of 7 as a single power of 3

Thanks

Answer 1

a) 240

b) 3¹⁷

Explanation:

Given the expression a * 60 = b ..... 1

We are to find 4b/a ....2

Substitute equation 1 into 2;

f(a, b) = 4b/a

f(a, b) = 4(60a)/a

f(a, b) = 240a/a

f(a, b) = 240

hence 4b/a is 240

b) Given the expression 27 *(3²)⁷

This can also be written as;

27 *(3²)⁷ = 3³ *(3²)⁷

3³ *(3²)⁷ = 3³ *3¹⁴

3³ *3¹⁴ = 3³⁺¹⁴

3³ *3¹⁴ = 3¹⁷

Hence the value in power of 3 is 3¹⁷