Question

simplify (27)^4/3+(16)^0.5-(0.8)^-1​

Answer 1

Answer:

335/4 or 83.75

Step-by-step explanation:

(27)^4/3 + (16)^0.5 - (0.8)^-1

= (3³)^4/3 + (16)^5/10 - (1/0.8)^1

= 3⁴ + 16^1/2 - 10/8

= 81 + 4 - 5/4

= 335/4 or 83.75

Answer 2

★ Answer with explanation

To simplify ,

$\\\\:\implies\sf{{27}^{ \frac{4}{3} } + {16}^{0.5} - {0.8}^{ - 1}}$

Let's begin ,

$\\\\:\implies\sf{{27}^{ \frac{4}{3} } + {16}^{0.5} - {0.8}^{ - 1}}$

$:\implies\sf{{27}^{ \frac{1}{3} \times 4 } + {16}^{ \frac{5}{10} } - \frac{1}{0.8}}$

$:\implies\sf{\sqrt[3]{ {27}^{4} } + {16}^{ \frac{1}{2} } - \frac{10}{8} }$

$:\implies\sf{\sqrt[3]{27 \times 27 \times 27 \times 27} + \sqrt{16} - \frac{5}{4} }$

$:\implies\sf{ \sqrt[3]{(3 \times 3 \times 3)(3 \times 3 \times 3)(3 \times 3 \times 3)}}$

$\sf{\sqrt[3]{(3 \times 3 \times 3)} + 4 - \frac{5}{4} }$

$:\implies\sf{3 \times 3 \times 3 \times 3 + 4 - \frac{5}{4}}$

$:\implies\sf{81 + 4 - \frac{5}{4}}$

$:\implies\sf{85 - \frac{5}{4}}$

$:\implies\sf{\frac{335}{4}}$

$:\implies\sf{83.75\:Ans}$