Pl describe how(2^3)(2^-4) can be simplified. multiply the bases and add the exponents. then find the reciprocal and change the sign of the exponent. keep the same base and add the exponents. then multiply by –1. keep the base and multiply the exponents. then multiply by –1. add the exponents and keep the same base. then find the reciprocal and change the sign of the exponent.

Option (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Explanation:

Given expression:

Step-1: Add the exponents and keep the same base by using property.

Step-2: The reciprocal of is , which is

Step-3: The exponent of is +1; therefore, change the sign of exponent. The end expression will now become:

Hence, the correct option is (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Step-by-step explanation:

The given expression is

The product law of exponent says that:-

So first we add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

b. 2

step-by-step explanation:

the slope of a line =δy/δx

δy= y₂-y₁

δx= x₂-x₁

therefore, using the points (-2,-3)   and (3,7) we can calculate gradient as follows:

m=(7--3)/(3--2) (a number minus a negative number the sign changes to a plus)

m=(7+10)/(3+2)

=10/5

=2

ok

step-by-step explanation: