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

Mathematics

2 answers:

lozanna [386]3 years ago

6 0

Answer:

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:

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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Answer:

The slope of the line is 5

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

I have created an illustration which is attached below in order to help you understand the situation. As we are told the passenger rode the subway from point (0 , 0) to point (-2, 0). Then he rode the subway from point (-2, 0) to the final destination of point (-2 , -10). In order to find the value of the slope we need to use the slope formula which is

$Slope = \frac{y_{2}-y_{1} }{x_{2}- x_{1} }$