Question

Help please! marking brainliest

Answer 1

Answer:

1) Simplify the following:-

a)5⁴⁺⁶=5¹⁰

b)2⁷⁺¹=2⁸

c)6⁵⁻²=6³

d)9⁷⁻⁶=9¹

2) Simplify the following:-

a)3²⁺⁴=3⁶

b)5⁷⁺³=5¹⁰

c)6⁷⁻²=6⁵

d)9⁴⁻³=9¹

Answer 2

Answer:

see explanation

Step-by-step explanation:

using the rules of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$

$a^{m}$ ÷ $a^{n}$ = $a^{(m-n)}$

Then

(a)

$5^{4}$ × $5^{5}$ = $5^{(4+5)}$ = $5^{9}$

(b)

$2^{7}$ × 2 = $2^{(7+1)}$ = $2^{8}$

(c)

$6^{5}$ ÷ 6² = $6^{(5-2)}$ = 6³

(d)

$9^{7}$ ÷ $9^{6}$ = $9^{(7-6)}$ = $9^{1}$ = 9

------------------------------------------------

(a)

3² × $3^{4}$ = $3^{(2+4)}$ = $3^{6}$

(b)

$5^{7}$ × 5³ = $5^{(7+3)}$ = $5^{10}$

(c)

$6^{7}$ ÷ 6² = $6^{(7-2)}$ = $6^{5}$

(d)

$9^{4}$ ÷ 9³ = $9^{(4-3)}$ = $9^{1}$ = 9