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,

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

Therefore, from given,

Here, base is same i.e "m"

Powers are different n and p

Add the powers as per rule

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

ok

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.