Question

(3a^4)^3 * 27a^7 __________________ (3a^2)^10

Answer 1

Вот держи...............

Answer 2

To simplify the expression, let's break it down step by step:

Step 1: Simplify the numerator (3a^4)^3 * 27a^7 (3a^4)^3 means raising the entire term (3a^4) to the power of 3: (3a^4)^3 = (3^3) * (a^4)^3 = 27a^12

Now, multiply this result by 27a^7: 27a^12 * 27a^7 = 27 * 27 * (a^12 * a^7) = 729a^19

Step 2: Simplify the denominator (3a^2)^10 (3a^2)^10 means raising the entire term (3a^2) to the power of 10: (3a^2)^10 = (3^10) * (a^2)^10 = 59049a^20

Now, the final expression is: (3a^4)^3 * 27a^7 / (3a^2)^10 = 729a^19 / 59049a^20

Step 3: Simplify further by dividing both the numerator and denominator by the greatest common factor (GCF) of the coefficients and variables. In this case, the GCF is "729a^19" since it's the highest power common to both terms.

(729a^19) / (729a^19) = 1 (59049a^20) / (729a^19) = 81a (divide the coefficients and subtract the exponents of 'a')

So, the simplified expression is: 1 / 81a