Question 6 (1 point) (01.03 LC) What is the value of 5 to the power of 4 over 5 to the power of 6? (1 point) a 1 over 25 b 1 over 5 c 5 d 25
2 answers
Question:
Question 6 (1 point) (01.03 LC) What is the value of 5 to the power of 4 over 5 to the power of 6? (1 point) a 1 over 25 b 1 over 5 c 5 d 25
Answers
Answer:a 1 over 25Step-by-step explanation:Problem Statement: What is the value of [tex]\frac{5^{4} }{5 ^{6} }[/tex] ? To solve this problem, we must familiarize ourselves with the concept of exponents and rules that guides them. Exponents are used by scientists to report higher orders of a number. Such large and often recurring expression is usually made up of a base and an exponent value. The exponent value is the power of the base; for example, 4³ has 4 as its base and 3 as the exponent. Several rules guides solving an exponent, to this problem, the most applicable one is : [tex]\frac{x^{a} }{x^{b} }[/tex] = [tex]x^{(a-b)}[/tex] [tex]\frac{5^{4} }{5 ^{6} }[/tex] = [tex]5^{4-6}[/tex] = [tex]5^{-2}[/tex] = [tex]\frac{1}{25}[/tex] Therefore the solution is 1 over 25
Answer:a 1 over 25Step-by-step explanation:
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