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Mnenie [13.5K]
3 years ago
13

Rewrite the expression 2^4sqrtx^7 using rational exponents

Mathematics
2 answers:
velikii [3]3 years ago
8 0

Answer:

The expression as a rational exponent is 16x^(7/2)

Step-by-step explanation:

The expression is given as:

2^4√x^7

Evaluate the exponent 2^4

16√x^7

Express √ as a power of 1/2

16* x^(7 * 1/2)

This gives

16* x^(7/2)

Evaluate the product

16x^(7/2)

Hence, the expression as a rational exponent is 16x^(7/2)

inna [77]3 years ago
7 0

Answer:

16x^{\frac{7}{2}}

Step-by-step explanation:

2^4\sqrt{x^7}\\\\16\sqrt{x^7}\\\\16(x^7)^\frac{1}{2}\\ \\16x^{\frac{7}{2}}

Remember to multiply exponents when raising a base with an exponent to an exponent!

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Answer:

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