Question

Find the value of x, y, and z if
5
X=
y =
Z=

Answer 1

x = 12

y = 9

z = 11

Explanation:

so, let's just do all the calculations in there :

(3×5)⁴ = 3⁴×5⁴

(2×3)⁵ = 2⁵×3⁵

(2×5)⁷ = 2⁷×5⁷

multiplying all 3 terms is then

3⁴×5⁴×2⁵×3⁵×2⁷×5⁷

more let's "group" and combine these terms based on the bases of the power operations, as we need to get an expression showing 2, 3 and 5 with their powers.

so, for the base of 2 we have

2⁵×2⁷ = 2¹²

for the base of 3 we have

3⁴×3⁵ = 3⁹

fire the base of 5 we have

5⁴×5⁷ = 5¹¹

so we get

2¹² × 3⁹ × 5¹¹

=>

x=12

y=9

z=11