Question

Find the value of ? that makes the equation true: x^?x^4=x^{10}

Answer 1

? = 6

Explanation:

x^? * x^4 = x^10

We know that a^ b * a^c = a^ ( b+c)

x^ ( ?+4) = x^10

Since the bases are the same, the exponents have to be the same

?+4 = 10

Subtract 4 from each side

?+4-4 = 10-4

? = 6