Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Fully simplify.

16x^(5)y^(5)(9y^(4))
Answer:

Fully simplify.\newline16x5y5(9y4) 16 x^{5} y^{5}\left(9 y^{4}\right) \newlineAnswer:

Full solution

Q. Fully simplify.\newline16x5y5(9y4) 16 x^{5} y^{5}\left(9 y^{4}\right) \newlineAnswer:
  1. Identify Terms: Identify the terms in the expression that can be combined.\newlineWe have the expression 16x5y5(9y4)16x^{5}y^{5}(9y^{4}). We can combine the constants (16(16 and 9)9) and the like terms (y5(y^{5} and y4)y^{4}).
  2. Multiply Constants: Multiply the constants together. 16×9=14416 \times 9 = 144
  3. Apply Product Rule: Apply the product rule for exponents to combine the yy terms.\newlineThe product rule states that when multiplying like bases, you add the exponents: y5×y4=y5+4=y9y^{5} \times y^{4} = y^{5+4} = y^{9}.
  4. Combine Results: Combine the results from Step 22 and Step 33 with the remaining term x5x^{5}. The fully simplified expression is 144x5y9144x^{5}y^{9}.

More problems from Evaluate rational exponents