Answer:
20/24. Simplified answer is 5/6
Step-by-step explanation:
5/8 divided by 3/4 is the same as asking 5/8 times 4/3
When dividing a number by a fraction, you can always just multiply by the fraction with its numerator and denominator switched!
So, now we have 5/8 times 4/3
Step 1: Multiply the numerators together. 5 times 4 = 20
Step 2: Multiply the denominators together. 8 times 3 = 24
Step 3: Put the new numerator over the new denominator. 20 over 24 is 20/24
Step 4: Simplify the fraction if necessary. 20 and 24 share a common factor of 4, so divide both the numerator and denominator by 4.
20 divided by 4 = 5
24 divided by 4 = 6
So, 20/24 is equal to 5/6.
Answer:
(8*2)-2
Step-by-step explanation:
Answer:
no clue
Step-by-step explanation:
but you got this
Answer:
a = 2/3
Step-by-step explanation:
A cube root is the same as a 1/3 power. The square of that gives a 2/3 power.
a = 2/3
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<em>Additional comment</em>
You can see the relationship between a root index and an exponent if you consider what the root means.
Consider a cube root, for example. When you cube the root, you get the original number:
(∛x)·(∛x)·(∛x) = x
Now, let's write the root as a power of x: x^a.
(x^a)·(x^a)·(x^a) = x . . . . . where x^a = ∛x
We know this product is ...
x^(a+a+a) = x^(3a) = x^1
This tells us that ...
3a = 1 ⇒ a = 1/3
That is, ∛x = x^(1/3).
Of course an n-th root is multiplied by itself n times to get the original number, so the corresponding exponent is x^(1/n).
