If I understood coorectly, you're looking for the fourth root of 81. This exercise can be solved by remembering that extracting the fourth root of a number is the same as raising that number to the power of 1/4.

We also need the prime factorization of 81, which is

$81 = 9 \times 9 = 3^2 \times 3^2 = 3^4$

So, the fourth root of 81 is 81 raised to the power of 1/4, which means

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

Now, use the property of exponents $(a^b)^c = a^{bc}$ to convert the expression into

$(3^4)^{\frac{1}{4}} = 3^{4\cdot \frac{1}{4}} = 3^1 = 3$

3 0

4 years ago

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In ∆ABC, ∠BAC= 80°, ∠ABC=60°, a = 7, b = x.

Sonbull [250]

To solve the value of x we use the sine rule that states.
a/sinA = b/sinB = c/sinC
Where a, b, and c are the opposite sides of angle A, B. and C respectively.

x/sin60 = 7/sin80

x =(7sin60)/sin80

= 6.062/0.9848
=6.155696691

To 3 significant figures the answer is 6.16

4 0

3 years ago

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