Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

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

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

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

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

$144x^8y^8$

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

Answer 2

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