Question

Express the following as the product of exponents through prime factorization.

$\left(A\right)288$

$\left(B\right)1250$

$\left(C\right)2250$

$\left(D\right)3600$

$\left(E\right)2400$

Answer 1

$\left(A\right)288=2\times 2\times 2\times 2\times 2\times 3\times 3$

$=(2{)}^5\times (3{)}^2$

$\left(B\right)1250=2\times 5\times 5\times 5\times 5$

$=2\times (5{)}^4$

$\left(C\right)2250=2\times 3\times 3\times 5\times 5\times 5$

$=2\times 3^2\times 5^3$

$\left(D\right)3600=2\times 2\times 2\times 2\times 3\times 3\times 5\times 5$

$=(2{)}^4\times (3{)}^2\times 5^2$

$\left(E\right)2400=2\times 2\times 2\times 2\times 3\times 5$

$=(2{)}^4\times 3\times 5$