Question

Raj is simplifying (5^4)^3 using these steps:

Answer 1

$(a^{x})^{y}= a^{x*y} \\ \\So, (5^{4})^{3}= 5^{4*3} = 5^{12}$

Answer 2

Answer:

Instead of simplifying the expression using the given steps Raj could directly apply property of exponents

$(5^4)^3=5^{12}$

Step-by-step explanation:

Given raj has an expression $(5^4)^3$ and he simplifies this using the given steps.

He can do the following steps to simplify the above expression

Consider the given expression  $(5^4)^3$

Using property of exponents, $(a^m)^n=a^{m\cdot n}$

Thus, the given expression beecomes,

$(5^4)^3=5^{4 \cdot 3}=5^{12}$

Thus, raj obtained the same answer only his calculation reduces,

$(5^4)^3=5^{12}$

Instead of simplifying the expression using the given steps Raj could directly apply property of exponents