Rewrite the expression in the form k\cdot z^nk⋅z

Ответ:

neariah24

09.12.2020

Mathematics

9z^1

Step-by-step explanation:

Given the expression $3\sqrt[4] z\cdot 3z{^{^{\scriptsize\dfrac34}}}$ , we are to write it in the form $k\cdot z^n$

Simply using the law of indices as shown;

$3\sqrt[4] z\cdot 3z{^{^{\scriptsize\dfrac34}}}\\= 3z^\frac{1}{4} \cdot 3z{^{^{\scriptsize\dfrac34}}}\\= (3*3)z^\frac{1}{4} *z{^{^{\scriptsize\dfrac34}}\\$

According to indices, $a^m * a^n = a^{m+n}$ , hence;

$= (3*3)z^\frac{1}{4} *z{^{^{\scriptsize\dfrac34}}\\\\= 9z^{\frac{1}{4} + \frac{3}{4} }\\= 9z^{\frac{4}{4}}\\= 9z$

Hence the expression in as $k\cdot z^n$ is 9z^1

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Ответ:

hwhite41

13.04.2020

Mathematics

k is less than or equal to 10

Step-by-step explanation:

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Rewrite the expression in the form k\cdot z^nk⋅z n k, dot, z, start superscript, n, end superscript. 3\sqrt[4] z\cdot 3z{^{^{\scriptsize\dfrac34}}}=3 4 z ⋅3z 4 3

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