Question

If 5^x = b, evaluate (25)^x * (125)^3x

Answer 1

Here \[5^{x}=b\]
\[25^{x}\times125^{3x}\]
\[(5^{2})^{x}(5^{3})^{3x})\]
\[5^{2x}\times5^{9x}\]
\[5^{2x+9x}\]
\[5^{11x}\]
\[(5^{x})^{11}\]
\[b ^{11}\]

Answer 2

Is it Ok

Answer 3

If 5^x = b, evaluate (25)^x * (125)^3x
(25)^x * (125)^3x
=(5*5)^x (5*5*5*5)^3x
=(5^2)^x (5^3)^3x
=(5)^2x (5)^9x
=5^11x
=(5^x)^11
=b^11