Which of the following equations are correctly written-a-m-b-m - -a-b-ma-m-b-n - -a-b-m - na-m-a-n - -a-m na-m-a-n - -a-m - n

The correct options are A a^m/b^m = (a/b)^m D a^m/a^n = (a)^m nFor any non zero integers 'a' and 'b', we have, a^m/b^m = (a/b)^m a^m×b^m = (a× b)^m a^m×a^ ...

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

Byju's Answer

Standard VIII

Mathematics

Dividing Terms with the Same Exponent

Which of the ...

Question

Which of the following equations are correctly written?

\frac{a^{m}}{b^{m}}

{(\frac{a}{b})}^{m}

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

\frac{a^{m}}{b^{n}}

{(\frac{a}{b})}^{m - n}

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

a^{m} \times a^{n}

{(a)}^{m n}

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

\frac{a^{m}}{a^{n}}

{(a)}^{m - n}

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

Open in App

Solution

The correct options are
A $\frac{a^{m}}{b^{m}}$ = ${(\frac{a}{b})}^{m}$
D $\frac{a^{m}}{a^{n}}$ = ${(a)}^{m - n}$
For any non-zero integers 'a' and 'b', we have,

$\frac{a^{m}}{b^{m}}$ = ${(\frac{a}{b})}^{m}$

$a^{m} \times b^{m}$ = $(a \times b)^{m}$

$a^{m} \times a^{n}$ = ${(a)}^{m + n}$

$\frac{a^{m}}{a^{n}}$ = $(a)^{m - n}$

where 'm' and 'n' are any integers.

Suggest Corrections

Similar questions

Q. Find the factors of the following expressions:

(9) am + an + al + bm + bl + bn

Q. If

a

and

b

are non-zero integers,

m

and

n

are any integers, then which of the following are true?

Q. Show that:

\frac{{(a + \frac{1}{b})}^{m} \times {(a - \frac{1}{b})}^{n}}{{(b + \frac{1}{a})}^{m} \times {(b - \frac{1}{a})}^{n}} = {(\frac{a}{b})}^{m + n}

Q. Show that:

\frac{{(a + \frac{1}{b})}^{m} \times {(a - \frac{1}{b})}^{n}}{{(b + \frac{1}{a})}^{m} \times {(b - \frac{1}{a})}^{n}} = {(\frac{a}{b})}^{m + n}

Q. Factories :

a m^{2} + b m^{2} + b n^{2} + a n^{2}

Join BYJU'S Learning Program

Which of the following equations are correctly written?

The correct options are A ambm = (ab)m D aman = (a)m−nFor any non-zero integers 'a' and 'b', we have, ambm = (ab)m am×bm = (a×b)m am×an = (a)m+n aman = (a)m−n where 'm' and 'n' are any integers.