Question

if 7 to the power x is equal to 2401 then 7 to the power x - 4 is equal to​

Answer 1

Answer:

1

Step-by-step explanation:

7^x = 2401

7^(x-4)=7^x/7^4

=2401 / 2401

=1

Answer 2

Answer:

The value of  $7^{x-4}$ is 1

Step-by-step explanation:

They have given that the 7 to the power of x is 2401

$7^{x} = 2401$

The exponent property is given by

The quotient of powers: This property states that when dividing two powers with the same base we subtract the exponents

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

To find the value of  $7^{x-4}$ consider

$7^{x-4}=\frac{7^{x} }{7^{4} }$

The value of the 7 to the power of 4 is 2401

$7^{4} = 2401$

$7^{x-4}=\frac{2401}{2401}$

$7^{x-4}=1$

Therefore the value of  $7^{x-4}$ is 1