When multiplying terms with the same base with exponents, you keep the base and add the exponents.
2^4 * 2^3 = 2^7
Any number with an exponent of zero equal one.
4^0 = 1
Multiply exponents when the term is being multiplied by a power.
(2^4)^3 = 2^12
When dividing terms with exponents, you keep the base and subtract the exponents.
9^7/9^5 = 9^2 9^5/9^7 = 1/9^2
For the first problem the answer is -5/2
2x−7+10=−2
Step 1: Simplify both sides of the equation.
2x−7+10=−2
2x+−7+10=−2
(2x)+(−7+10)=−2
(Combine Like Terms)
2x+3=−2
Step 2: Subtract 3 from both sides.
2x+3−3=−2−3
2x=−5
Step 3: Divide both sides by 2.
2x/2=−5/2
x=−5/2
Answer:
x= -5/2
<span>By the Pythagorean theorem:
x = </span>√(9²+7²)
= √(81+49)
= √130
≈ 11.40 to the nearest hundredth
