the answer is D
try putting each question by it's self
Option D. is the answer.
we have to simplify the cube root of
Therefore, Option D. 7 to the power of 2 over 15 is the answer.
So to put your equation into algebraic terms, your asking for .
Firstly, we have to convert these into fractional exponents. The rule to do that is . Applying that here, our equation is
Next, the rule with dividing exponents with the same base is to just subtract the exponents, so with this we are subtracting 1/5 from 1/3. However, we need to find their LCM, or lowest common multiple, of 3 and 5. You can do this by listing out what numbers 3 and 5 are factors of. In this case, the LCM is 15. Multiply 1/3 by 5/5 and 1/5 by 3/3:
Now that they share the same denominator, subtract the numerators of the 2 fractional exponents and your answer will be , or the last option.
Here ,There are no options given to choose which number is a cube root between 7 & 8 . So below provided answer is way to choose which numbers have cube root between 7 & 8 .
Here , We have to find that Which number has a cube root between 7 and 8 . Let's find out :
We know that ,
So , the number which have cube root between 7 & 8 will surely lie in between of 343 & 512 . Suppose the numbers which which have cube root between 7 & 8 are , So these numbers lie between 7 & 8 i.e.
Therefore, all the numbers which lies between 343 and 512 or , have a cube root between 7 & 8 .