Question

type the correct answer in each box. use numerals instead of words. if x > 0, what values of c and d make the equations true?

Answer 1

The values of c and d which makes the given equations true are 7 and 5 respectively.

What is an exponent?

An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as bⁿ.

How to determine the value of c and d?

From equation A, we have:

$\sqrt{448x^c} = 8x^3\sqrt{7x} \\\\\sqrt{448x^c} = \sqrt{(8x^3)^2 \times 7x } \\\\\sqrt{448x^c} = \sqrt{64x^6 \times 7x } \\\\\sqrt{448x^c} = \sqrt{(64 \times 7)x^{6+1} }\\\\\sqrt{448x^c} = \sqrt{448x^{7} }$

c = 7.

From equation B, we have:

$\sqrt[3]{576x^d} = 4x\sqrt[3]{9x^2} \\\\\sqrt[3]{576x^d} = \sqrt[3]{9x^2 \times (4x)^3}\\\\\sqrt[3]{576x^d} = \sqrt[3]{9x^2 \times 64x^3}\\\\\sqrt[3]{576x^d} = \sqrt[3]{9 \times 64x^{3+2}}\\\\\sqrt[3]{576x^d} = \sqrt[3]{576x^{5}}$

d = 5.

Read more on equation here: brainly.com/question/20352494

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