Your Progress - Chapter 60% complete
1Exercises6 questions
Q.1Find the cube of 5.v
Solution
$5^3=5\times5\times5=125$.
Answer:
$125$.
Q.2Is 243 a perfect cube?v
Answer:
No. $243=3^5$, and the exponent 5 is not a multiple of 3.
Q.3Find the smallest number by which 3087 must be divided so that the quotient is a perfect cube.v
Solution
$3087=3^2\times7^3$. Dividing by $3^2=9$ leaves $7^3$.
Answer:
$9$.
Q.4Find the smallest number by which 392 must be multiplied so that the product is a perfect cube.v
Solution
$392=2^3\times7^2$. One more factor 7 is needed, so the least multiplier is $7$.
Answer:
$7$.
Q.5Find $\sqrt[3]{512}$.v
Solution
$8^3=512$.
Answer:
$8$.
Q.6Find $\sqrt[3]{2197}$.v
Solution
$13^3=2197$.
Answer:
$13$.