Question

Simplify ^3 sq try (-0.05)^24

Answer 1

Answer:B.(-0.05)^8

Explanation:

Answer 2

As

• 
  `\sqrt[3]{\left(-0.05\right)^(24)}=0.05^8`

so option D is correct.

Explanation:

Given the expression

`\sqrt[3]{\left(-0.05\right)^(24)}`

`\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{(1)/(n)}`

`\sqrt[3]{\left(-0.05\right)^(24)}=\left(\left(-0.05\right)^(24)\right)^{(1)/(3)}`

`\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^(bc)`

`=\left(-0.05\right)^{24\cdot (1)/(3)}`

`=\left(-0.05\right)^8`

`\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}`

`=0.05^8`

Hence, the simplification will be:

`\sqrt[3]{\left(-0.05\right)^(24)}=0.05^8`

Therefore, option D is correct.