Question

Please explain how you got your answer

Write the expression as a monomial in its standard form:
25a^4*(3a^3)^2

Answer 1

9514 1404 393

Answer:

`225a^(10)`

Explanation:

The rules of exponents apply:

(a^b)(a^c) = a^(b+c)

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

(ab)^c = (a^c)(b^c)

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`25a^4\cdot(3a^3)^2=25a^4\cdot3^2a^(2\cdot3)=25\cdot9a^4\cdot a^6\\\\=225a^(4+6)=\boxed{225a^(10)}`