Mathematics: Simplify the expression. 12x^-6 y^10 times 3x^7 y

Simplify the expression. 12x^-6 y^10 times 3x^7

alex5560

11.03.2022

We need to simplify the expression:

$12x^{-6}y^{10} \times (3x^{7}y)$

Now, we know that we can resolve the exponents of the variables with the like terms only and we can multiply the coefficients independently:

Now,

$12x^{-6}y^{10} \times 3x^{7}y=(12 \times 3)\times (x^{-6}\times x^{7})\times (y^{10}\times y)$

On simplifying the above expression we get:

$36\times x^{(-6+7)}\times y^{(10+1)}$

$=36 \times x^{1}\times y^{11}$

$=36 \times x \times y^{11}$

$=36xy^{11}$

So the simplified form of the expression $12x^{-6}y^{10} \times 3x^{7}y=36xy^{11}$ .

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lyne29

04.01.2021

The cities are actually 190 km apart.

Step-by-step explanation:

Consider the provided information.

It is given that a map scale is 1 cm : 50 km.

We need to find the distance between the two cities if they are 3.8 cm apart.

To find the actual distance between the two cities using the map, multiply each side of the relationship by 3.8

3.8 × 1 cm : 3.8 × 50 km

3.8 cm : 190 km

The cities are actually 190 km apart.

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