simplifyi
1.(mn) 3 =____
2.(2x⁴b⁵)²=____
3.(x²)²(3xy²)⁴=___


pa help naman po ng tamang sagot​


Sagot :

✎ Answers

1. (mn)³

  • = m³n³

2. (2x⁴b⁵)²

  • = (2²)(x⁽⁴⁾⁽²⁾)(b⁽⁵⁾⁽²⁾)
  • = 4x⁸b¹⁰

3. (x²)²(3xy²)⁴

  • = (x)⁽²⁾⁽²⁾[(3)(x)(y⁽²⁾⁽⁴⁾)]
  • = (x⁴)(3)(x⁴)(y)
  • = 81(x⁴⁺⁴)(y⁸)
  • = 81xy⁸

Explanation:

Let's recall a few rules on exponents.

✍︎ Law #4 of positive integral exponents, also known as the Power of a Product Property.

  • It states that if a term is being raised to an exponent, just distribute the exponent to each factor. Thus,

[tex]{\large{\boxed{\tt{(ab)^{n}=a^{n}b^{n}}}}}[/tex]

✍︎ Law #2 of positive integral exponents, also known as the Power of a Power Property.

  • It states that if an exponent is being raised to another exponent, just multiply the exponents. Thus,

[tex]{\large{\boxed{\tt{(a^{x})^{n}=a^{xn}}}}}[/tex]

[tex]{\huge{\underline{\sf{Hope\:It\:Helps}}}}[/tex]

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