Question

simplyfi the following expression (-4)⁵÷(-4)⁸​

Answer 1

QUESTION :

Simplify : \mathtt {(-4)^5 \times (-4)^8}(−4)

5

×(−4)

8

\begin {gathered} \end {gathered}

ANSWER:

\begin{gathered}Using\: the\: \mathtt {Laws\: of\: Exponents}, we\: have - \\\\\bold {{( - 4)}^{5} \times {( - 4)}^{8}} \Rightarrow (-4)^{5 + 8} = \underline {\underline {\bold {( - 4)^{13}}}}\ \ \ [\because \mathtt {a^m \times a^n = a^{(m + n)}} \Big ]\end{gathered}

UsingtheLawsofExponents,wehave−

(−4)

5

×(−4)

8

⇒(−4)

5+8

=

(−4)

13

[∵a

m

×a

n

=a

(m+n)

]

\begin {gathered} \end {gathered}

∴ The Simplified Form of \bf {(-4)^5 \times (-4)^8}(−4)

5

×(−4)

8

is \underline {\underline {\bf (-4)^{13}}}

(−4)

13

. . .

Answer 2

Answer:

-1/64

Step-by-step explanation:

(-4)^5-8

(-4)^-3

(1/-4)^3

-1/64