Which statement explains the property of integer exponents shown in this equation?
= +

To multiply two powers with the same base, add the exponents.

To multiply two powers with the same base, multiply the exponents.

To add two powers with the same base, add the exponents.

To multiply two powers with the same base, subtract the expo

Question:

Which statement explains the property of integer exponents shown in this equation?

To multiply two powers with the same base, add the exponents.

Solution:

Given that,

By exponent product rule,

Which means,

When multiplying two powers that have the same base, you can add the exponents

Therefore, from given,

Here, base is same i.e "m"  and powers are different n and p

Add the powers as per rule

Thus, To multiply two powers with the same base, add the exponents.

answer: 45

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c