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A seguir são sugeridos alguns exercícios sobre exponenciais.
- Simplifique as expressões abaixo, conforme o exercício 1:
![{\displaystyle 5^{5}\times 5^{2}=5^{(5+2)}=5^{7}.\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/00116a0ba17863c1ad46a0791818d3f96fc3c199)
![{\displaystyle 2^{3}\times 2^{4}=\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/62b1cd9fc5ac5c6b6f01a5acc1394b14718763c7)
![{\displaystyle 3^{5}\times 3^{8}\times 3^{2}=\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b6ae3d6b251e8726d6a6fdcbbf83f0f619f41ec3)
![{\displaystyle 2^{10}\times 6^{5}=\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d7985f87bd2fbe3f44219f2be644fc9efb269ef3)
![{\displaystyle {10}^{2}\times {20}^{3}=\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b450461a4c09a88b0c39ef9a8e25e9de418a0920)
![{\displaystyle x^{3}\times y^{2}\times x^{2}\times z^{4}=\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3eec24fd2712aea72e9f41325a2d4e6041514c72)
- Simplifique as expressões abaixo:
![{\displaystyle {\frac {2^{3}\times 3^{2}}{2^{4}\times 3}}=\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/64ad0b5bb82f2a346de63a3ba4f80a7de33efd74)
![{\displaystyle {\frac {x^{4}\times y^{2}}{x^{3}\times y^{5}}}=\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/350f11c0a205bef59de68027f23b9dea59e65c6d)
![{\displaystyle {\frac {2\times x^{3}\times y}{6\times x\times y^{5}}}=\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/601a3ec5654019af27a516ea2199fed870cdf7e9)
![{\displaystyle {\frac {6^{5}}{5^{6}}}\times {\frac {81}{25}}=\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/01ec2298796cbef408b81b6c102c578cd238db00)
- Simplifique as expressões abaixo:
![{\displaystyle {(-2)}^{4}\times {(-3)}^{3}\times {(-6)}^{2}=\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/50354f04a20f27336b4d326cf9ff66644b9897b1)
![{\displaystyle {\frac {{(-3)}^{2}\times 2^{(-2)}}{3^{3}\times {(-2)}^{-3)}}}=\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f198a7b50144bdbabe247c0ac0c3046c5760705d)
![{\displaystyle {(2^{3})}^{4}\times {({(-4)}^{-2})}^{-3}=\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b735a42589033fddbd386fb24bf60df5539fe14f)
![{\displaystyle {\frac {(x^{3})^{2}}{(x^{2})^{5}}}=\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f9c4e0a42f62d030b0c29d3c1838acc11b7a8d7e)
- Sendo a = 43, b = (-8)5, c = (-2)6 e d = (1/2)-3, determine o valor de:
![{\displaystyle {\frac {a^{2}\times b^{-1}}{(-c)^{-2}\times (-d)^{-3}}}=\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/786e3309f2dc95164fb7e9c8b6699f5b68f96465)
- Escreva Verdadeiro (V) ou Falso (F), corrigindo a resposta no segundo caso:
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- Se n é um número par,
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- Se n é um número ímpar,
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- Se a é diferente de zero,
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- Simplifique as expressões:
![{\displaystyle {\frac {{(-2)}^{3}.{(-4)}^{2}.8^{-1}}{16^{-1}.{(-4)}^{-3}.{(-2)}^{4}}}\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/11b847fb26f20b2572bc00bb8358fcaae28b6622)
![{\displaystyle {\frac {6^{4}.{(-3)}^{-2}.{(-2)}^{3}}{36^{3}.4^{-2}.81}}\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b8f10a10603154ebad12d8d019d3be7c2348deee)
- Sendo x > 0 e y > 0,
![{\displaystyle {\frac {x^{-2}.y^{2}.{(-x)}^{4}}{-y^{2}.x^{-2}.{(-x)}^{2}}}\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/498a74e3a75ee1c16763b75eb1721f71684102b1)