Question

Please help 10 points for the question i dont know why but my brain cannot compute this question

Answer 1

9514 1404 393

Answer:

(b) 6^10/7^6

Explanation:

The applicable rules of exponents are ...

(a/b)^c = (a^c)/(b^c)

(a^b)^c = a^(bc)

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This means you have ...

`\left((6^5)/(7^3)\right)^2=((6^5)^2)/((7^3)^2)=(6^(5\cdot2))/(7^(3\cdot2))=\boxed{(6^(10))/(7^6)}`

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Additional comment

I find it helpful to remember that an exponent signifies repeated multiplication. Then ...

`\left((6^5)/(7^3)\right)^2=\left((6^5)/(7^3)\right)\cdot\left((6^5)/(7^3)\right)=(6^5\cdot6^5)/(7^3\cdot7^3)=(6^(5+5))/(7^(3+3))=(6^(10))/(7^6)`