What is the answer to (2³)³? Explain or show your work.

Mathematics

2 answers:

Charra [1.4K]2 years ago

8 0

Answer:

(2³)³=512

because, 2³=8 & 8³=512

ipn [44]2 years ago

4 0

Answer:

512

Step-by-step explanation:

Ok, let's start by deciphering how powering works:

$a^3 = a \cdot a \cdot a\\a^b * a^c = a^{b+c}\textrm{; because it's "multiply a b times" multiplied by "multiply a c times"}\\(a^b)^c = a^{b\cdot c}\textrm{; because of the above}\\$

$(2^3)^3 = 2^{3\cdot3} = 2^9\\$

and because of KibiBytes existing, we know that 2^10 = 1024, so 2^9 will be equal to 1024/2=512

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5. To get to the library from his house, Robert biked 6 kilometers due east and then

AURORKA [14]

Answer:

24 kilometers.

Step-by-step explanation:

The shortest path between two points is a straight segment that connects the two points.

Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.

The two shorter segments are the two legs, and
The longer segment that joins the library and the house is the hypotenuse.

The length of the hypotenuse can be found with the Pythagorean Theorem.

$\begin{aligned}\text{Hypotenuse} &= \sqrt{(\text{Leg 1})^{2} + (\text{Leg 2})^{2}}\\&= \sqrt{6^{2} + 8^{2}}\\&= \sqrt{36 + 64} \\&= \sqrt{100}\\&= \rm 10\;km\end{aligned}$ .