Question

if,49×49×49×49=7x then find x​

Answer 1

Given,

$49 \times 49 \times 49 \times 49 = 7 \times x$

We need to find the value of x.

We know that

$49 = {7}^{2}$

Let's change the above equation.

${7}^{2} \times {7}^{2} \times {7}^{2} \times {7}^{2} = 7 \times x$

If the bases are equal we can add the powers.

i.e.

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

Apply this formula in the above equation.

${7}^{2 + 2 + 2 + 2} = 7 \times x \\ {7}^{8} = 7 \times x \\ x = {7}^{8} \div 7 \\ x = {7}^{8 - 1} \\ x = {7}^{7}$

Therefore the value of x is

$x = {7}^{7}$

#SPJ2