Question

5^n *5^3 = 625 find n

Answer 1

your ans

given:-

5^n×5^3=625

now we know that 625 can be written as 5^4 and no with same bases their powers get added

so

5^n+3=5^4. (5 gets cancelled from both sides)

n+3=4

n=1

Answer 2

hello mate!......


given........



$5 {}^{n} \times 5 {}^{3} = 625 \\ \\ 5 {}^{n} \times 5 {}^{3} = 5 {}^{4} \\ \\ we \: know \: .... \\ x {}^{a + b} = x {}^{c} \\ a + b = c \\ \\ then......... \\ 5 {}^{n + 3} = 5 {}^{4} \\ \\ n + 3 = 4 \\ \\ n = 4 - 3 \\ \\ n = 1$
HOPE IT HELPS U