List of top Mathematics Questions on Laws of Exponents for Real Numbers

The sum of the exponents of the prime factors in the prime factorization of 156 is

Find: (i) 9 \(\frac{3}{2}\) (ii) 32 \(\frac{2}{5}\) (iii) 16 \(\frac{3}{4}\) (iv) 125 -\(\frac{1}{3}\)

Find: (i) 64 \(\frac{1}{2}\) (ii) 32 \(\frac{1}{2}\) (iii) 125 \(\frac{1}{3}\)

Simplify : (i) 2 \(\frac{2}{3}\) . 2 \(\frac{1}{5}\) (ii) (\(\frac{1}{33}\))7 (iii) 11 \(\frac{1}{2}\) / 11\(\frac{1}{4}\) (iv) 7 \(\frac{1}{2}\) . 8 \(\frac{1}{2}\)