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Reika [66]
3 years ago
11

(-3xy^3) ^2 (4x^3y) ^2

Mathematics
2 answers:
DochEvi [55]3 years ago
8 0

Answer:

\large\boxed{{144x^8y^8}}

Step-by-step explanation:

(-3xy^3) ^2 (4x^3y) ^2

\boxed{\text{Use the property: }(a^n b^m)^k=  a^{nk} b^{mk}}

(9x^2y^6) (16x^6y^2)

\text{Take  } 9 \cdot 16, x^2 \cdot x^6, y^6\cdot y^2

\boxed{\text{Use the property: }a^n a^m=  a^{n+m}}

144x^8y^8

\therefore (-3xy^3) ^2 (4x^3y) ^2 = 144x^8y^8

ss7ja [257]3 years ago
6 0

Answer:

144x⁸y⁸

Step-by-step explanation:

Order of Operations: BPEMDAS

When you exponent an exponent, you multiply powers; when you multiply an exponent, you add powers.

Step 1: Write out expression

(-3xy³)² (4x³y)²

Step 2: Exponents

9x²y⁶(16x⁶y²)

Step 3: Multiply

144x⁸y⁸

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