What is (sqrt(3))^2*(sqrt(4))^3*(sqrt(5))^4 ?

The solution to (sqrt(3))^2*(sqrt(4))^3*(sqrt(5))^4 is 600

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simplify (sqrt(3))^2(sqrt(4))^3(sqrt(5))^4

simplify

(3)^{2} \cdot (4)^{3} \cdot (5)^{4}

600

Solution steps

(3)^{2} (4)^{3} (5)^{4}

Apply exponent rule:

(3)^{2} = 3

= 3 (4)^{3} (5)^{4}

(4)^{3} = 8

= 3 \cdot 8 (5)^{4}

Rewrite

4

2 \cdot 2

= 3 \cdot 8 (5)^{2 \cdot 2}

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

(5)^{2 \cdot 2} = ((5)^{2})^{2}

= 3 \cdot 8 ((5)^{2})^{2}

Apply exponent rule:

(5)^{2} = 5

= 3 \cdot 8 \cdot 5^{2}

5^{2} = 25

= 3 \cdot 8 \cdot 25

Multiply the numbers:

3 \cdot 8 \cdot 25 = 600

= 600

\frac{10}{8} < \frac{y + 4}{4} < \frac{16}{8}

3 x^{2} + 33 x + 90

14 - 6 b = 2 + 6 b

30 x^{2} - 13 x - 77

\frac{1}{20} \cdot 100

What is (sqrt(3))^2*(sqrt(4))^3*(sqrt(5))^4 ?
The solution to (sqrt(3))^2*(sqrt(4))^3*(sqrt(5))^4 is 600