Respuesta :

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[tex] \large \sf \underline{Direction:}[/tex]

Evaluate the given expression.

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[tex] \large \sf \underline{Answer:}[/tex]

  1. [tex]{6}^{2} = 6 \times 6 = \large \sf{ \underline{ \pmb{ \sf{36}}}}[/tex]
  2. [tex]{7}^{4} = 7 \times 7 \times 7 \times 7 =\large{ \underline{ \pmb{ \sf{2, 401}}}}[/tex]
  3. [tex]{12}^{2} = 12 \times 12 = \large \sf{ \underline{ \pmb{ \sf{144}}}}[/tex]
  4. [tex]3 \times 3 \times 3 \times 3 \times 3 = \large{ \underline{ \pmb{ \sf{243}}}}[/tex]
  5. [tex]4 \times 4 \times 4 \times 4 = \large{\underline{ \pmb{ \sf{256}}}}[/tex]

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[tex] \large \sf \underline{Explanation:}[/tex]

In the expression 6², 6 is the base and 2 is the exponent. The exponent tells how many times the base should be multiplied by itself.

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[tex]\large \boldsymbol{} \sf 1. ~~ 6^2 = \pmb{36} \\\\\\ 2. ~~ 7^4 = 7^2 \cdot 7^2 = 49 \cdot 49 = (49 +1)(49-1) + 1=\pmb{2401} \\\\\\ 3. ~~12^2= \pmb{144} \\\\\\ 4 . ~~ 3\cdot 3\cdot 3 \cdot 3\cdot 3 = 3^5 = \pmb{243 }\\\\\\ 5 . ~~ 4^4 = 4^2 \cdot 4^2 = 16 \cdot 16 = \pmb{256}[/tex]