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barxatty [35]
2 years ago
15

( 2/3 a^2b^2)^2·(−3ab)^4

Mathematics
1 answer:
german2 years ago
5 0

Solving the expression: (\frac{2}{3}a^2b^2)^2(-3ab)^4 we get 36a^8b^8

Step-by-step explanation:

We need to solve the expression: (\frac{2}{3}a^2b^2)^2(-3ab)^4

Solving:

Using exponent rule:(a^b)^c=a^{bc} and another rule: x^a.x^b=x^{a+b}

(\frac{2}{3}a^2b^2)^2(-3ab)^4\\=\frac{4}{9}a^4b^4(81a^4b^4)\\=\frac{4}{9}*81a^{4+4}b^{4+4}\\=4*9a^8b^8\\=36a^8b^8

So, solving the expression: (\frac{2}{3}a^2b^2)^2(-3ab)^4 we get 36a^8b^8

Keywords: Solving Exponents

Learn more about Solving Exponents at:

  • brainly.com/question/13174254
  • brainly.com/question/13174258

#learnwithBrainly

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