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1.In 4³ ÷ (5 + 3) ² = N, What is the value of N.
A. 8 B. 4 C. 2 D. 1

2. Evaluate (2 + a)² - 2 x b when a = 3 and b = 5

A. 0 B. 1 C. 10 D. 15​


Sagot :

PEMDAS

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PEMDAS RULE:

  • In finding the equal using the PEMDAS rule, Parenthesis is given first, then Exponent, Multiplication and Division left to right, Addition and Subtraction left to right.

1.) In 4³ ÷ (5 + 3) ² = N, What is the value of N.

  • [tex]\boxed{\bold{\red{D. \: 1}}}[/tex]

  • [tex]\bold{{4}^{3} \: \div \: {(5 \: + \: 3)}^{2} \: = \: N }[/tex]
  • [tex]\bold{{4}^{3} \: \div \: {8}^{2} \: = \: N }[/tex]
  • [tex]\bold{64 \: \div \: {8}^{2} \: = \: N }[/tex]
  • [tex]\bold{64 \: \div \: 64 \: = \: N }[/tex]
  • [tex]\boxed{\bold{1 \: = \: N }}[/tex]

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2.) Evaluate (2 + a)² - 2 x b when a = 3 and b = 5

  • [tex]\boxed{\bold{\purple{D. \: 15}}}[/tex]

  • [tex]\bold{{(2 \: + \: a)}^{2} \: - \: 2 \: \times \: b }[/tex]
  • [tex]\bold{{(2 \: + \: 3)}^{2} \: - \: 2 \: \times \: 5 }[/tex]
  • [tex]\bold{{5}^{2} \: - \: 2 \: \times \: 5 }[/tex]
  • [tex]\bold{25 \: - \: 2 \: \times \: 5 }[/tex]
  • [tex]\bold{25 \: - \: 10 }[/tex]
  • [tex]\boxed{\bold{15}}[/tex]

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