What is (3/4 x^2)(4/5 x^5) ?

The solution to (3/4 x^2)(4/5 x^5) is (3x^7)/5

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simplify (3/4 x^2)(4/5 x^5)

simplify

(\frac{3}{4} x^{2}) (\frac{4}{5} x^{5})

\frac{3 x ^{7}}{5}

Solution steps

(\frac{3}{4} x^{2}) (\frac{4}{5} x^{5})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{2} x^{5} = x^{2 + 5}

= \frac{3}{4} \cdot \frac{4}{5} x^{2 + 5}

Add the numbers:

2 + 5 = 7

= \frac{3}{4} \cdot \frac{4}{5} x^{7}

Multiply fractions:

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

= \frac{3 \cdot 4 x ^{7}}{4 \cdot 5}

Cancel the common factor:

4

= \frac{3 x ^{7}}{5}

4 - 25 a^{2}

lo g_{4} (\frac{1}{64})

\frac{245}{5}

(x + 3)^{2} = 5

(3 p + 3)^{2} - 1 (3 p + 3) - 20 = 0