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RSB [31]
2 years ago
7

Simplify the expression 6m^2n-14mn^2-mn^2+2m^2n

Mathematics
1 answer:
Marrrta [24]2 years ago
3 0

Answer:

8m^2n−15mn^2

Step-by-step explanation:

(6m^2n+2m^2n)+(−14mn^2−mn^2)

= 8m^2n−15mn^2

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write the product of the expression 5^4 * 5^-7 using a positive exponent, then write the product using a negative exponent
pav-90 [236]

Answer with positive exponent = \left(\frac{1}{5}\right)^3 or  \frac{1}{5^3}

Answer with negative exponent = 5^{-3}

===========================================================

Explanation:

The rule we use is

a^b*a^c = a^{b+c}

If we multiply two exponential expressions with the same base, then we add the exponents.

The base for each is 5. The exponents 4 and -7 add to -3.

This means

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To convert to a positive exponent, we apply the reciprocal to the base. We go from 5, aka 5/1, to 1/5.

So, 5^{-3} = \left(\frac{1}{5}\right)^3 = \frac{1^3}{5^3} = \frac{1}{5^3}

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