Write (625)^-1/4 in decimal form.

If 27^x =, find x.

Find the values of x in each of the following:

(i) 2^5x÷ 2^x =

(ii) (2³)⁴ = (2²)^x

(iii)

(iv) 5^x-2 × 3^2x-3 = 135

(v) 2^x-5 × 5^x-4 = 5

(vi) 2^x-7 × 5^x-4 = 1250

State the product law of exponents.

State the quotient law of exponents.