If $5^{a} = 3125$ , then the value of $5^{(a - 3)}$ is:

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

125

No worries! We‘ve got your back. Try BYJU‘S free classes today!

625

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1625

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 25
$5^{a} = 3125 ⟺ 5^{a} = 5^{5}$
$\Rightarrow a = 5$
$∴ 5^{(a - 3)} = 5^{(5 - 3)} = 5^{2} = 25.$

Suggest Corrections

Similar questions

\frac{a}{b} = \frac{7}{3}

\frac{5 a + 3 b}{5 a - 3 b}

\frac{5 a + 2 b}{5 a - 2 b} = \frac{5}{3}

\frac{a}{b} = \frac{7}{3}

\frac{5 a + 3 b}{5 a - 3 b}

If sec 5A = cosec(A - $30^{\circ}$ ) and 5A is acute angle then find the value of A in degrees.

Join BYJU'S Learning Program