Question

Calcule pelo modo que achar melhor exercicio 69. ( não consegui digitar tudo)

Answer 1

${49}^{ \frac{1}{2} } = \sqrt{49} = 7$

${125}^{3} = \sqrt[3]{125} = \sqrt[3]{ {5}^{3} } = 5$

${8}^{ \frac{4}{3} } = \sqrt[3]{ {8}^{4} } = \sqrt[3]{ {8}^{3} \cdot8} = 8 \sqrt[3]{8}$

${25}^{ \frac{3}{2} } = \sqrt{ {25}^{3} } = \sqrt{ {25}^{2} \cdot25} = 25 \sqrt{25}$

${81}^{ - \frac{1}{4} } = { \bigg (\dfrac{1}{81} \bigg) }^{ \frac{1}{4} } = \dfrac{1}{ \sqrt[4]{81} } = \dfrac{1}{3}$

${16}^{ \frac{3}{2} } = \sqrt{ {16}^{3} } = \sqrt{4096} = 64$

${9}^{ 0,5 } = {9}^{ \frac{1}{2} } = \sqrt{9} = 3$

${10000}^{0,25} = {10000}^{ \frac{1}{4} } = \sqrt[4]{10000} = 10$

Answer 2

Explicação passo-a-passo:

A

$49 {}^{ \frac{1}{2} }$

$(7 {}^{2} ) {}^{ \frac{1}{2} }$

$7 {}^{2 \times \frac{1}{2} }$

$7 {}^{ \frac{2}{2} }$

$7 {}^{1}$

$7$

B

$125 {}^{ \frac{1}{3} }$

$(5 {}^{3} ) {}^{ \frac{1}{3} }$

$5 {}^{3 \times \frac{1}{3} }$

$5 {}^{ \frac{3}{3} }$

$5 {}^{1}$

$5$

C

$8 {}^{ \frac{4}{3} }$

$(2 {}^{3} ) {}^{ \frac{4}{3} }$

$2 {}^{3 \times \frac{4}{3} }$

$2 {}^{ \frac{12}{3} }$

$2 {}^{4}$

$16$

D

$25 {}^{ \frac{3}{2} }$

$(5 {}^{2} ) {}^{ \frac{3}{2} }$

$5 {}^{2 \times \frac{3}{2} }$

$5 {}^{ \frac{6}{2} }$

$5 {}^{3}$

$125$

E

$81 {}^{ - \frac{1}{4} }$

$\dfrac{1}{81 {}^{ \frac{1}{4} } }$

$\dfrac{1}{(3 {}^{4}) {}^{ \frac{1}{4} } }$

$\dfrac{1}{3 {}^{4 \times \frac{1}{4} } }$

$\dfrac{1}{3 {}^{ \frac{4}{4} } }$

$\dfrac{1}{3 {}^{1} }$

$\dfrac{1}{3}$

F

$16 {}^{ \frac{3}{2} }$

$(2 {}^{4} ) {}^{ \frac{3}{2} }$

$2 {}^{4 \times \frac{3}{2} }$

$2 {}^{ \frac{12}{2} }$

$2 {}^{6}$

$64$

G

$9 {}^{0.5}$

$(3 {}^{2} ) {}^{ \frac{5}{10} }$

$(3 {}^{2} ) {}^{ \frac{5 {}^{ \div 5} }{10 {}^{ \div 5} } }$

$(3 {}^{2} ) {}^{ \frac{1}{2} }$

$3 {}^{2 \times \frac{1}{2} }$

$3 {}^{ \frac{2}{2} }$

$3 {}^{1}$

$3$

H

$10000 {}^{0.25}$

$(10 {}^{4} ) {}^{ \frac{25}{100} }$

$(10 {}^{4} ) {}^{ \frac{25 {}^{ \div 25} }{100 {}^{ \div 25} } }$

$(10 {}^{4} ) {}^{ \frac{1}{4} }$

$10 {}^{4 \times \frac{1}{4} }$

$10 {}^{ \frac{4}{4} }$

$10 {}^{1}$

$10$