Question

find 6 to the power 1 by 2, 32 the power of , 125 ^ 1 by 3​

Answer 1

1. 6 1/2
2. 125 1/3
3. 32 1/5

Step-by-step explanation:

1. 64 1/2 = (8×8 )1/2 = (82)1/2 = (8)^2× 1/2 = Ans is 8
2. 125 1/3 = (5×5×5)1/3 = (53) 1/3 = (5)^3 × 1/3 = Ans is 5
3. 32 1/5 = ( 2×2×2×2×2) 1/5 = (2)^5 1/5 = Ans is 2

Answer 2

Answer:

$6^{\frac{1}{2} }$ $=\sqrt{6}$

$(32)^{(125)^{\frac{1}{3} }}$ $=33,554,432$

Step-by-step explanation:

$6^{\frac{1}{2} }$

$=\sqrt{6}$  [∵ $a^{\frac{1}{n} } =\sqrt[n]{a}$]

$(32)^{(125)^{\frac{1}{3} }}$

$=(32)^{\sqrt[3]{125}}$

$=(32)^{\sqrt[3]{5^3}}$

$=(32)^{5}$

$=32*32*32*32*32$

$=33,554,432$