Question

Need help ASAP please thankyou!

Answer 1

Answer:

c=7

d=5

Step-by-step explanation:

Exponential Equations

We need to recall some properties of exponentials to solve the equations:

$x^a*x^b=x`{a+b}$

$\displaystyle (x^a)^b=x^{ab}$

Equation A

$\sqrt{448x^c}=8x^3\sqrt{7x}$

Squaring:

$(\sqrt{448x^c})^2=(8x^3\sqrt{7x})^2$

Simplifying the radicals:

$448x^c=64x^6(7x)$

$448x^c=448x^7$

If follows that

c=7

Equation B

$\sqrt[3]{576x^d}=4x\sqrt[3]{9x^2}$

Raising to the third power:

$(\sqrt[3]{576x^d})^3=(4x\sqrt[3]{9x^2})^3$

$576x^d=4^3x^3(9x^2)$

Operating

$576x^d=64x^3(9x^2)=576x^5$

Thus:

d=5