Problemas
(A21-2 Rational Exponents and Properties of Ex Exponents Write the radical using rational exponents sqrt [4](x^-2) sqrt [4](x^-3)=square (Use integers or fractions for any numbers in the expression.)
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Daniel
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Respuesta
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Explicación
## Step 1The problem asks us to convert the given radical expressions into expressions with rational exponents. The general rule for converting a radical expression to an expression with a rational exponent is:###
where
is the root of the radical and
is the exponent of the radicand.## Step 2For the first expression,
, we apply the rule. Here,
(the fourth root) and
(the exponent of the radicand). So, we get:###
## Step 3For the second expression,
, we again apply the rule. Here,
(the fourth root) and
(the exponent of the radicand). So, we get:###