To simplify algebraic expressions, apply the different laws of exponents. If a certain number is being raised to a certain exponent, find the value then proceed with the operation. In multiplying two quantities, the numerical coefficients are multiplied but the exponents are added. In dividing two quantities, the numerical coefficients are divided but the exponents are subtracted. Any quantity raised to zero is equal to one.
Answers & Comments
Verified answer
Simplifying Algebraic Expressions
To simplify algebraic expressions, apply the different laws of exponents. If a certain number is being raised to a certain exponent, find the value then proceed with the operation. In multiplying two quantities, the numerical coefficients are multiplied but the exponents are added. In dividing two quantities, the numerical coefficients are divided but the exponents are subtracted. Any quantity raised to zero is equal to one.
Answers:
Solutions:
1. 3 . 4³ = 3 . (4)(4)(4) 8. -(9x)⁰ = -(1)
= 3 . 64 = -1
= 192
2. 4x³ . 2x³ = (4)(2) x³⁺³ 9. (y⁴)³ = y⁽⁴⁾⁽³⁾
= 8x⁶ = y¹²
3. x⁵ . x³ = x⁵⁺³ 10. (x²y)⁴ = x⁽²⁾⁽⁴⁾y⁴
= x⁸ = x⁸y⁴
4. 2x³ . 2x² = (2)(2) x³⁺² 11.
= 3x⁷ ⁻ ⁴
= 4x⁵ = 3x³
5.
= 6⁵ ⁻ ³ 12.
= 2x⁵ ⁻ ²
= 6² = 2x³
= 6 . 6 13. (2cd⁴)²(cd)⁵ = 2²c²⁺⁵d⁽⁴⁾⁽²⁾⁺⁵
= 36 = 4c⁷d⁸⁺⁵
6.
= x⁴ ⁻ ⁷ = 4c⁷d¹³
= x⁻³ 14. (2fg⁴)⁴(fg)⁶ = 2⁴f⁴⁺⁶g⁽⁴⁾⁽⁴⁾⁺⁶
=
= 16f¹⁰g¹⁶⁺⁶
7. 8⁰ = 1 = 16f¹⁰g²²
How to simplify algebraic expressions: brainly.ph/question/10309237
#BrainlyEveryday