Question

Rewrite using a single positive exponent .
3^-3 × 8^-6
​

Answer 1

We conclude that

`3^(-3)* \:8^(-6)=(1)/(8^6* \:\:3^3)`

Explanation:

Given the expression

`3^(-3)* \:8^(-6)`

`\mathrm{Apply\:exponent\:rule}:\quad \:a^(-b)=(1)/(a^b)`

`3^(-3)*\:8^(-6)=8^(-6)* \:(1)/(3^3)`

`\mathrm{Apply\:exponent\:rule}:\quad \:a^(-b)=(1)/(a^b)`

`=(1)/(3^3)* (1)/(8^6)`

`\mathrm{Multiply\:fractions}:\quad (a)/(b)* (c)/(d)=(a\:* \:c)/(b\:* \:d)`

`=(1* \:1)/(3^3* \:8^6)`

`=(1)/(8^6* \:3^3)`

Therefore, we conclude that

`3^(-3)* \:8^(-6)=(1)/(8^6* \:\:3^3)`