Question

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

Answer 1

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

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

144x⁸y⁸

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