- #1
meee
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can i put together two different things which have the same power?
for eg: (2x+3)^(3/2) + (4/2x)^(3/2)
can i do anything to simplify?
thanks
for eg: (2x+3)^(3/2) + (4/2x)^(3/2)
can i do anything to simplify?
thanks
meee said:can i put together two different things which have the same power?
for eg: [tex] (2x+3)^{(3/2)} + \left( \frac{4}{2x} \right)^{(3/2)} [/tex]
can i do anything to simplify?
thanks
When we say "simplify" in this context, we mean to reduce the equation to its simplest form by performing any necessary operations and combining like terms.
No, this equation cannot be solved for a specific value of x because it contains variables in both the numerator and denominator.
Yes, this equation falls under the category of rational exponents, which can be simplified by using the power rule for exponents (a^(m/n) = (a^m)^(1/n)) and the product rule for exponents (a^m * a^n = a^(m+n)).
Yes, the equation can be rewritten as (2x+3)^(3/2) + (2x)^(-3/2) to make it easier to apply the power rule for exponents.
Yes, since the equation contains a term with a negative exponent (2x)^(-3/2), we must make sure that x ≠ 0 to avoid dividing by zero.