Question

Simplify
x^1/2 × x^5/2​

Answer 1

Answer: here

Step-by-step explanation:

x

−

1

2

x

5

2

x

1

3

Multiply  

x

−

1

2

by  

x

5

2

by adding the exponents.

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x

2

x

1

3

Move  

x

1

3

to the numerator using the negative exponent rule  

1

b

n

=

b

−

n

.

x

2

x

−

1

3

Multiply  

x

2

by  

x

−

1

3

by adding the exponents.

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x

5

3

Answer 2

Answer:

x^3

Step-by-step explanation:

x^1/2 × x^5/2

x^1/2+5/2

x^6/2

= x^3

(by using laws of exponents - a^m× a^n = a^m+n. In this law we have common base so we taking it once and adding the powers)