What is (3r^3s^5t)(7r^3s^5t) ?

The solution to (3r^3s^5t)(7r^3s^5t) is 21r^6s^{10}t^2

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simplify (3r^3s^5t)(7r^3s^5t)

simplify

(3 r^{3} s^{5} t) (7 r^{3} s^{5} t)

21 r^{6} s^{10} t^{2}

Solution steps

(3 r^{3} s^{5} t) (7 r^{3} s^{5} t)

Apply exponent rule:

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

r^{3} r^{3} = r^{3 + 3}

= 3 s^{5} t \cdot 7 r^{3 + 3} s^{5} t

Add the numbers:

3 + 3 = 6

= 3 s^{5} t \cdot 7 r^{6} s^{5} t

Apply exponent rule:

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

s^{5} s^{5} = s^{5 + 5}

= 3 t \cdot 7 r^{6} s^{5 + 5} t

Add the numbers:

5 + 5 = 10

= 3 t \cdot 7 r^{6} s^{10} t

Apply exponent rule:

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

tt = t^{1 + 1}

= 3 \cdot 7 r^{6} s^{10} t^{1 + 1}

Add the numbers:

1 + 1 = 2

= 3 \cdot 7 r^{6} s^{10} t^{2}

Multiply the numbers:

3 \cdot 7 = 21

= 21 r^{6} s^{10} t^{2}

\frac{- 70}{10}

e^{u} (e^{- u})^{2}

\frac{∣ x ∣}{∣ x ∣ - 5}

(\frac{b}{M} + \frac{K}{b}) (2 \frac{( K b + K b )}{b M})^{- 1}

2 (2) e^{2}

What is (3r^3s^5t)(7r^3s^5t) ?
The solution to (3r^3s^5t)(7r^3s^5t) is 21r^6s^{10}t^2