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Exponents and Exponential Functions Unit Test
Exponents and Exponential Functions Unit Testsomeone PLEASE oh PLEEEEEAAAASSSSEEEEE explain to me all of the answers cuz i just can't think straight, plus, mathematics are literally making mah brain go "FLOP"
HMMMM -(10)^-1
A. -1/10
B. -1/-1^10
C. 1/10
D. 10
(-7.4)^0
A. -1
B. -7.4
C. 0
D. 1
-1/a^-2
A. -a2
B. -2/a
C. -2a
D. a^2
5^4 x 5^7
A. 125^11
B. 15^11
C. 5^28
D. 5^11
Simplify this expression:
(3)^10 (3)^-9
A. 3
B. 1/3
C. 9^-90
D. 9
(t^8)^2
A. 2t^16
B. t^10
C. t^16
D. t^64
(5t^3)^-4
A. 625/t^12
B. 20/t^7
C. 1/625t^12
D. 1/20t^7
(ok i'm sorry if i don't write the rest of the questions/options, it's just my back is hurting from leaning to long and my fingers hurt for typing to long and my brain is burning up because of how many numbers and letters there are in this test......)
(IF YOU KNOW THE REST OF THE QUESTIONS AND OPTIONS PLEASE WRITE IT ALONG IN YOUR ANSWER!!! I NEED IT ASAP OR ELSE I'M GETTING AN F- IN MY GRADE ._.)
Final answer:The student's questions relate to the properties of exponents and can be solved by applying these rules: any number raised to the -1 power is the reciprocal of the number; any number raised to the 0 power is 1; when numbers with the same base are multiplied, their exponents are added; power of a power means the exponents are multiplied; and a negative exponent means taking the reciprocal of the number raised to the positive counterpart of that exponent.Explanation:Understanding exponents can be tricky, but once you grasp the rules, they become much easier. The first rule is that any number raised to the power of -1 is the reciprocal of the number, so -(10)^-1 equals-1/10(option A).Next, any number raised to the power of 0 is 1, so (-7.4)^0 equals1(option D).For -1/a^-2, we turn the base (a) to a positive exponent, resulting in -1*(a^2) which simplifies to-a^2(option A).When you multiply numbers with the same base, you add the exponents, so 5^4 x 5^7 becomes5^11(option D).Similarly, (3)^10 (3)^-9 becomes 3^(10-9) or3(option A).Remember, when you have a power of apower, youmultiplythe exponents. So (t^8)^2 becomest^16(option C).Finally, (5t^3)^-4 equals 1/(5t^3)^4 or1/625t^12(option C) because raising a number to the -4 power means taking the reciprocal of that number raised to the power of 4. Hope that helps!Learn more about Exponents here:brainly.com/question/33831961#SPJ3...