Q93 of 196 Page 249

Express 16^–2 as a power with the base 2.

as we know that , 2 × 2 × 2 × 2 = 16

∴ 16 = 2⁴

∴ 16^-2 =(2⁴)^-2=2^-8…..(by the laws of exponents ie. (a^m)ⁿ = a^(mn)

Solve the following:

Express 3^–5 × 3^–4 as a power of 3 with positive exponent.

Express andas powers of a rational number.

Express and as powers of a rational number.

Express 16–2 as a power with the base 2.