Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable 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].

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.