Apply the product rule to ( 3u^3). ( 16u^4(3^3((u^3))^3)) Rewrite using the commutative property of multiplication. ( 16⋅ 3^3(u^4((u^3))^3)) Raise ( 3) to the power of ( 3). ( 16⋅ 27(u^4((u^3))^3)) Multiply( 16) by ( 27). ( 432(u^4((...
Enter a problem...Pre-Algebra Examples Popular Problems Pre-Algebra Simplify ( square root of 5x-3)( square root of 6x+5) Step 1 Combine using the product rule for radicals.
The expressions of the form am⋅an, aman, (am)n, and a−n are called exponential expressions. In some cases, these expressions are simplified using exponent rules. For instance, the exponent form am⋅an is written as am+n using the product rule. On the other hand, we can also...
Example: Using the Product Rule to Simplify Square Roots Simplify the radical expression. √300300 √162a5b4162a5b4 Show Solution Try ItSimplify √50x2y3z50x2y3z.Show Solution How To: Given the product of multiple radical expressions, use the product rule to combine them into one radical ...
Combine using the product rule for radicals. Step 4.3 Rewrite as . Step 4.4 Multiply the exponents in . Tap for more steps... Step 4.4.1 Apply the power rule and multiply exponents, . Step 4.4.2 Multiply by . Step 4.5 Use the power rule to combine exponents. Step 4.6 Add and . Ste...
from Chapter 7 / Lesson 10 80K The terms under radical symbols with the same index can be combined through multiplication, then simplified. Learn how to multiply and simplify radical expressions by using the product rule, and review the examples. Related...
Find and simplify the derivative of the following function. {eq}f(x) = \sqrt x (3x^4 - 2x^2) {/eq} Applying the Rules of Differentiation to Calculate Derivatives: If a function is in a product of two-factor form, then we apply the product rule of differenti...
Patches support the same operations as solutions, such as additive update, but not removal. You cannot remove components from a solution using a patch. To remove components from a solution perform an upgrade. Patches exported as managed must be imported on top of a managed pa...
Sometimes the examples aimed at demonstrating a given feature or technology have to be simple and canonical; sometimes not. This is one of the cases in which a more realistic example helps to reveal the potential of the underlying framework and determine the best way of using its features. Let...
Find the following derivatives using the chain rule. Simplify as much as possible. Find the derivative of the following functions. Do not simplify. (a) f(x)=(x^{3}+4)^{2}(5x^{2}-x-1)^{12} (b) g(t)=\sqrt{\frac{t^{3}+1}{t^{3}-1 (c) h(x)=\...