Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

what is the result of 4 - ³× (¼²​

Sagot :

Answer:

[tex]4^{-5}[/tex]

Step-by-step explanation:

The given expression is :

[tex]4^{-3}\times (\dfrac{1}{4})^2[/tex]

We know that, [tex]x^{-a}=\dfrac{1}{x^a}[/tex]

So,

[tex]4^{-3}\times (\dfrac{1}{4})^2=\dfrac{1}{4^3}\times (\dfrac{1}{4})^2\\\\=\dfrac{1}{4^3}\times \dfrac{1}{4^2}\\\\=\dfrac{1}{4^3\times 4^2}\\\\=\dfrac{1}{4^{3+2}}\\\\=\dfrac{1}{4^5}\\\\=4^{-5}[/tex]

So, the answer of the given expression is equal to [tex]4^{-5}[/tex].

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.