Respuesta :
Option 4 is the correct option. Keep the base the same and then subtract the exponents. The simplified value of the expression is 3 ^ -2. This can be obtained by using Quotient of Power Property.
Which is the correct option?
- Quotient of Power Property: To divide powers with same base, subtract the exponents.
- that is , [tex]\frac{a^{x}}{a^{y}}=a^{x-y}[/tex]
- For example: 8^3/8^5 = 8^(3 - 5) = 8^ -2
Here in this question it is given that,
⇒ (3^-6)/(3^-4)
By using the Quotient of Power Property, we can find the simplified value of the expression.
Since the bases are equal we can subtract the exponents of the numbers.
Here the common base is 3 and -6 and -4 are the exponents of the numbers.
Now by subtracting the exponents we get,
⇒ (3^-6)/(3^-4)
= 3^ [-6 - (-4)]
= 3 ^ [-6 + 4]
= 3 ^ -2
Hence option 4 is the correct option. Keep the base the same and then subtract the exponents. The simplified value of the expression is 3 ^ -2.
Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: Describe how to simplify the expression (3^-6)/(3^-4).
Option 1: Divide the bases and then add the exponents.
Option 2: Keep the base the same and then add the exponents.
Option 3: Multiply the bases and then subtract the exponents.
Option 4: Keep the base the same and then subtract the exponents.
Learn more about powers here:
brainly.com/question/27796160
#SPJ4
