Mathematics, 18.09.2019 19:00, denaemarie02

Which equation justifies why nine to the one third power equals the cube root of nine?
nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine
nine to the one third power all raised to the third power equals nine raised to the one third plus three power equals nine
nine to the one third power all raised to the third power equals nine raised to the one third minus three power equals nine
nine to the one third power all raised to the third power equals nine raised to the three minus one third power equals nine

Answers: 2

Show answers

Answers

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

Step-by-step explanation:

we know that

The Power of a Power Property , states that :To find a power of a power, multiply the exponents

$(a^{b})^{c}=a^{b*c}$

In this problem we have

$9^{\frac{1}{3}} =\sqrt[3]{9}$

Remember that

$\sqrt[3]{9}=9^{\frac{1}{3}}$

Raise to the third power

$[9^{\frac{1}{3}}]^3$

Applying the power of power property

$9^{\frac{3}{3}}$

$9^{1}$

therefore

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

answered: powellalyvia

Option 1.

Step-by-step explanation:

The given equation is

$9^{\frac{1}{3}}=\sqrt[3]{9}$

We need to find the equation which justifies the given equation.

Taking cube on both sides.

$(9^{\frac{1}{3}})^3=(\sqrt[3]{9})^3$

$(9^{\frac{1}{3}})^3=9$

Taking LHS,

$LHS=(9^{\frac{1}{3}})^3$

Using power property of exponents.

$LHS=9^{\frac{1}{3}\times 3}$ $[\because (a^m)^n=a^{mn}]$

$LHS=9^{\frac{3}{3}}$

$LHS=9^{1}$

LHS=9

LHS=RHS

The required equation is

$(9^{\frac{1}{3}})^3=9^{\frac{1}{3}\times 3}=9$

"Nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine".

Therefore, the correct option is 1.

answered: Guest

answer set (b) 0.5, 3/4 80% is in order from least to greatest.

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form. typically, the best form in which to evaluate rational numbers is in decimals. in order to convert a percent to a decimal, you would divide the given percentage by 100. you can also accomplish the conversion by moving the decimal point over two places to the left. for example, the decimal value of 80% is 80/100, or 0.8. in order to convert a fraction to a decimal, you need to divide the numerator by the denominator. for example, 3/4 is 0.75. so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.

answered: Guest

the length of o'p' is $1.5\times op$ .