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uranmaximum [27]

3 years ago

8

Simplify 7^8 x 7^3 x 7^4 / 7^9 7^5

2 answers:

lozanna [386]3 years ago

6 0

Answer:

7.

Step-by-step explanation:

7^8 x 7^3 x 7^4 / 7^9 7^5

= 7^(8+3+4) / 7^(9+5)

= 7^15 / 7^14

= 7^(15-14)

= 7.

Aleksandr [31]3 years ago

3 0

Answer:

7

Step-by-step explanation:

When the bases of the numbers are the same when multiplying numbers with exponents, you can just add the exponents like so:

$7^8 * 7^3 * 7^4 = 7^{15}$

Now, look at the rest of the simplified equation and do the same to the denominator:

$\frac{7^{15}}{7^9*7^5}$ ⇒ $\frac{7^{15} }{7^{14} }$

When the bases are the same in the fraction, you are allowed to subtract the exponents. This will lead you to the simplified answer $7^{15-14}$ = $7^1$ = $7$

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2 years ago

Juan ordered 20 pizzas for a party. 45% of the pizzas have 8 slices each. The remaining 55% of the pizzas have 12 slices each. C

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Since, $45\%$ of pizzas have $8$ slices.

Therefore, number of pizzas with $8$ slices are: $45\%\times(20)$

$=\frac{45}{100} \times(20)$

$=\frac{45}{10} \times(2)$

$=\frac{90}{10}$

$=9$ pizzas

Also, since, $55\%$ of pizzas have $12$ slices.

Therefore, number of pizzas with $12$ slices are: $55\%\times(20)$

$=\frac{55}{100} \times(20)$

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$=\frac{110}{10}$

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Now, there are $9$ pizzas with $8$ slices and $11$ pizzas with $12$ slices.

Therefore, total number of slices of pizza are: $=(9)(8)+(11)(12)$

$=72+132$

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3 years ago