CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Quotient Law

5n+2 -6 × 5n+...

Question

$\frac{5^{n + 2} - 6 \times 5^{n + 1}}{13 \times 5^{n} - 2 \times 5^{n + 1}}$ is equals to

Open in App

Solution

$\frac{5^{n + 2} - 6 \times 5^{n + 1}}{13 \times 5^{n} - 2 \times 5^{n + 1}}$

$= \frac{5^{n} (5^{2} - 6 \times 5)}{5^{n} (13 - 2 \times 5)}$
$= \frac{25 - 30}{13 - 10}$

$= \frac{- 5}{3}$
Hence, option (b) is correct.

Suggest Corrections

thumbs-up

1

Similar questions

$\frac{5^{n + 2} - 6 \times 5^{n + 1}}{13 \times 5^{n} - 2 \times 5^{n + 1}} i s e q u a l t o$

\frac{5^{n + 2} - 6 \times 5^{n + 1}}{13 \times 5^{n} - 2 \times 5^{n + 1}}

is equal to

(a)

\frac{5}{3}

- \frac{5}{3}

\frac{3}{5}

- \frac{3}{5}

On simplification, the expression $\frac{5^{n + 2} - 6 \times 5^{n + 1}}{13 \times 5^{n} - 2 \times 5^{n + 1}}$ equals

(a) $\frac{5}{3}$ (b) $- \frac{5}{3}$ (c) $\frac{3}{5}$ (d) $- \frac{3}{5}$

Q. On simplification, the expression

\frac{5^{n + 2} - 6 \times 5^{n + 1}}{13 \times 5^{n} - 2 \times 5^{n + 1}}

\frac{5}{3}

- \frac{5}{3}

\frac{3}{5}

- \frac{3}{5}

Which of the following is divisible by 25:

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon