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3 years ago

Luis evaluated the expression \large 3^5+6^3, but he made a mistake. His work is shown below:

Mathematics

1 answer:

expeople1 [14]3 years ago

4 0

Answer:

Step-by-step explanation:

In first line he multiplied exponent times base but we should multiply base times its exponent.

correct solution

3^5+6^3

=3*3*3*3*3+6*6*6

=243+216

=459

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Step-by-step explanation:

1) Convert $4\frac{1}{3}$ to improper fraction. Use this rule: $a\frac{b}{c} =\frac{ac+b}{c}$ .

$\frac{4\times3+1}{3} -1\frac{2}{3}$

2) Simplify 4 * 3 to 12.

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3) Simplify 12 + 1 to 13.

$\frac{13}{3} -1\frac{2}{3}$

4) Convert $1\frac{2}{3}$ to improper fraction. Use this rule: $a\frac{b}{c} =\frac{ac+b}{c}$ .

$\frac{13}{3} -\frac{1\times3+2}{3}$

5) Simplify 1 * 3 to 3.

$\frac{13}{3} -\frac{3+2}{3}$

6) Simplify 3 + 2 to 5.

$\frac{13}{3} -\frac{5}{3}$

7) Join the denominators.

$\frac{13-5}{3}$

8) Simplify.

$\frac{8}{3}$

9) Convert to mixed fraction.

$2\frac{2}{3}$

(Decimal Form: 2.666667)

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