What is 24(t^3}{15}t^4*5\frac{t^8)/3 t^6 ?

The solution to 24(t^3}{15}t^4*5\frac{t^8)/3 t^6 is (8t^{21})/3

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simplify 24(t^3}{15}t^4*5\frac{t^8)/3 t^6

simplify

24 \frac{t ^{3}}{15} t^{4} \cdot 5 \frac{t ^{8}}{3} t^{6}

\frac{8 t ^{21}}{3}

Solution steps

24 \cdot \frac{t ^{3}}{15} t^{4} \cdot 5 \cdot \frac{t ^{8}}{3} t^{6}

Multiply the numbers:

24 \cdot 5 = 120

= 120 \cdot \frac{t ^{3}}{15} t^{4} \frac{t ^{8}}{3} t^{6}

Simplify

t^{4} t^{6} : t^{10}

= 120 \cdot \frac{t ^{3}}{15} t^{10} \frac{t ^{8}}{3}

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{t ^{3} t ^{8} \cdot 120 t ^{10}}{15 \cdot 3}

t^{3} t^{8} \cdot 120 t^{10} = 120 t^{21}

= \frac{120 t ^{21}}{15 \cdot 3}

Multiply the numbers:

15 \cdot 3 = 45

= \frac{120 t ^{21}}{45}

Cancel the common factor:

15

= \frac{8 t ^{21}}{3}

x^{3} y + 8 y - x y^{2} + 2 y^{2}

3 x^{4} + 5 x^{3} - 2 x^{2} + x - 7

\frac{( x ^{2} - 1 )}{( x ^{3} + 3 x ^{2} - x - 3 )}

9 a^{3} \cdot x^{2} - 18 a \cdot x^{3}

\frac{1 + ( tan ( x ) )}{( cos ( x ) )}

What is 24(t^3}{15}t^4*5\frac{t^8)/3 t^6 ?
The solution to 24(t^3}{15}t^4*5\frac{t^8)/3 t^6 is (8t^{21})/3