Question

64 raised to the power 1÷3-64 raised to the power 2÷3

Answer 1

Step-by-step explanation:

Given -

• 64^⅓ - 64^⅔

To Find -

• Value of 64^⅓ - 64^⅔

Now,

» 4^³×⅓ - 4^³×⅔

» 4¹ - 4²

» 4 - 16

» - 12

Hence,

The value of 64^⅓ - 64^⅔ is -12

Additional information :-

Some related formulas :-

• a^p × a^q = a^p+q

Example -

» 5¹ × 5² = 5¹+²

» 5³

• (a^p)^q = a^pq

Example -

» (5¹)² = 5¹*²

» 5²

• a^p/a^q = a^p-q

» 5²/5¹ = 5²-¹

» 5¹

• a^p × b^p = (ab)^p

Example -

» 5² × 3² = (5×3)²

» 15²

Answer 2

$\huge \mathfrak{Answer:-}$

$\large\underline\mathrm{the \: value \: of \: 64^1/2 \: - \: 64^2/3 \: is \: -12.}$

$\large\underline\mathrm{Given:-}$

• 64^1/2 - 64^2/3

$\large\underline\mathrm{To \: find}$

• Value of 64^1/2 - 64^2/3.

$\large\underline\mathrm{Solution}$

$\implies$ 64^1/2 - 64^2/3

$\implies$ 4^3×1/2 - 4^3×2/3

$\implies$ 4¹ - 4²

$\implies$ 4 - 16

$\implies$ 12

$\large\underline\mathrm{hence,}$

$\large\underline\mathrm{the \: value \: of \: 64^1/2 \: - \: 64^2/3 \: is \: -12.}$

$\large\underline\mathrm{Hope \: it \: helps \: you \: plz \: mark \: me \: brainlist}$