popcornlily0408
Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

HELP PLEASE. Check picture. I have tried but cannot seem to get it.

HELP PLEASE Check Picture I Have Tried But Cannot Seem To Get It class=

Sagot :

iciclepiano18

Answer:

[tex]884^{-7}[/tex]

Step-by-step explanation:

Start by simplifying the denominator of the fraction. When multiplying exponents of the same base, you can add the exponents. This is also known as the product rule.

[tex]a^x\cdot a^y=a^{x+y}[/tex]

["a" is the base, and "x" and "y" are the exponents]

Using this we find...

[tex]884^{58}\cdot884^{46}=884^{58+46}=884^{104}[/tex]

When dividing exponents of the same base, you can subtract the exponents. This is also knows as the quotient rule.

[tex]a^x\div a^y=a^{x-y}[/tex]

Using this we find...

[tex]\frac{884^{97}}{884^{104}}=884^{97-104}=884^{-7}[/tex]

Answer:

[tex]884^{-7[/tex]

Step-by-step explanation:

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Before we begin solving, let's review a few rules of exponents.

  1. If an exponent is multiplying with another exponent and their bases are the same, you can simply add the exponents.
  2. If an exponent is dividing with another exponent and their bases are the same, you can simply subtract the exponents.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

  • ⇒ [tex]\dfrac{884^{97} }{884^{58} \times 884^{46} }[/tex]

  • ⇒ [tex]\dfrac{884^{97} }{884^{58 + 46}}[/tex]                                                                                       [#1]

  • ⇒ [tex]\dfrac{884^{97} }{884^{104}}[/tex]

  • ⇒ [tex]884^{97 - 104[/tex]                                                                                     [#2]

  • ⇒ [tex]\boxed{884^{-7}}[/tex]

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.