Respuesta :
[tex](a^{x})^{y}= a^{x*y}
\\ \\So,
(5^{4})^{3}= 5^{4*3} = 5^{12}[/tex]
Answer:
Instead of simplifying the expression using the given steps Raj could directly apply property of exponents
[tex](5^4)^3=5^{12}[/tex]
Step-by-step explanation:
Given raj has an expression [tex](5^4)^3[/tex] and he simplifies this using the given steps.
He can do the following steps to simplify the above expression
Consider the given expression [tex](5^4)^3[/tex]
Using property of exponents, [tex](a^m)^n=a^{m\cdot n}[/tex]
Thus, the given expression beecomes,
[tex](5^4)^3=5^{4 \cdot 3}=5^{12}[/tex]
Thus, raj obtained the same answer only his calculation reduces,
[tex](5^4)^3=5^{12}[/tex]
Instead of simplifying the expression using the given steps Raj could directly apply property of exponents
