Question

exponent pls help me fast​

Answer 1

Answer:

m = -3/2

Step-by-step explanation:

according to the rules,

a^m/a^n = a^m-n

7^2m / 7^-4 = 7^1

7^2m-(-4) = 7^1

as the bases are same lets move them aside...

2m + 4 = 1

2m = 1 - 4

m = -3/2

verification:

7^2*-3/2

= 7^-3 / 7^-4

= 7^ -3-(-4)

=7^-3+4

=7^1 or 7

hope this helps

please mark as the brainliest

Answer 2

We have a law in exponents which is ⇒ $a^m\div a^n=a^{m-n}$

In the question given the base of all the numbers are same. So we will solve the equation using the exponents. Our equation would be as follows.

$\rule{200}{1}$

$2m-( -4)=1$

$2m+4=1$

$2m=1-4$

$2m=-3$

$m=\frac{-3}{2}$

$\rule{200}{1}$

Verification if $m=\frac{-3}{2}$

$(2\times\frac{-3}{2}) -(-4)$

$-3-(-4)$

$-3+4$

$1$

∴ $m=\frac{-3}{2}$ in the equation ⇒ $7^{2m}\div 7^{-4}=7$

Additional Information :)

What is an exponent?

A number that says how many times to use the number in multiplication is known as exponent.

How to pronounce a number with exponent?

For example ⇒ 12²

We pronounce it as "12 raised to the power 2" or "12 square".