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Popular >

simplify (9cos^7(t))^2

Solution

simplify

(9 cos^{7} (t))^{2}

Solution

81 cos^{14} (t)

Solution steps

(9 cos^{7} (t))^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(9 cos^{7} (t))^{2} = 9^{2} (cos^{7} (t))^{2}

= 9^{2} (cos^{7} (t))^{2}

9^{2} = 81

= 81 (cos^{7} (t))^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(cos^{7} (t))^{2} = cos^{7 \cdot 2} (t)

= 81 cos^{7 \cdot 2} (t)

Multiply the numbers:

7 \cdot 2 = 14

= 81 cos^{14} (t)

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Frequently Asked Questions (FAQ)

What is (9cos^7(t))^2 ?
The solution to (9cos^7(t))^2 is 81cos^{14}(t)