Find the value of -2-57-2-52-

The correct option is C ( 2/5)^5According to the laws of exponents, a^b ÷ a^c = a^b c nbsp;, where 'a' is a non zero integer. Using this law, we get, ( 2/ ...

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

Byju's Answer

Standard VII

Mathematics

Exponents with Like Bases

Find the valu...

Question

Find the value of $(\frac{- 2}{5})^{7} \div (\frac{- 2}{5})^{2} .$

- \frac{2}{5}

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

\frac{2}{5}

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

(- \frac{2}{5})^{5}

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

\frac{- 8}{125}

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

Open in App

Solution

The correct option is C $(- \frac{2}{5})^{5}$
According to the laws of exponents,

$a^{b} \div a^{c} = a^{b - c}$ , where 'a' is a non-zero integer.

Using this law, we get,

$(\frac{- 2}{5})^{7} \div (\frac{- 2}{5})^{2} = (\frac{- 2}{5})^{7 - 2}$

$= (\frac{- 2}{5})^{5}$

Suggest Corrections

Similar questions

Q. Find the value of

(\frac{- 2}{5})^{7} \div (\frac{- 2}{5})^{2} .

Find the value of $(\frac{- 2}{5})^{7} \div (\frac{- 2}{5})^{6}$

Q. Find the value of sin²33° + sin²57°.

Solve and find value of y.

$\frac{3 x}{2} - \frac{5 y}{3} = - 2$ ; $\frac{x}{2} + \frac{y}{2} = \frac{13}{6}$

Q. If the value of the determinant

|\begin{matrix} m & 2 \\ - 5 & 7 \end{matrix}|

is 31, find m.

Join BYJU'S Learning Program

Find the value of (−25)7÷(−25)2.

The correct option is C (−25)5According to the laws of exponents, ab÷ac=ab−c , where 'a' is a non-zero integer. Using this law, we get, (−25)7÷(−25)2=(−25)7−2 =(−25)5

Find the value of $(\frac{- 2}{5})^{7} \div (\frac{- 2}{5})^{2} .$

The correct option is C $(- \frac{2}{5})^{5}$
According to the laws of exponents,

$a^{b} \div a^{c} = a^{b - c}$ , where 'a' is a non-zero integer.

Using this law, we get,

$(\frac{- 2}{5})^{7} \div (\frac{- 2}{5})^{2} = (\frac{- 2}{5})^{7 - 2}$

$= (\frac{- 2}{5})^{5}$